Question 11 Mark
What will be the measure of the supplement of each one of the following angles?
$125^{\circ}$
$125^{\circ}$
Answer
View full question & answer→$55^{\circ}$
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Question 21 Mark
What will be the measure of the supplement of each one of the following angles?
$55^{\circ}$
$55^{\circ}$
Answer
View full question & answer→$125^{\circ}$
Question 31 Mark
Answer
View full question & answer→In this pair, measures of the given angles are $50^{\circ}$ and $130^{\circ}$.
$\therefore$ Sum of the given angles $=50^{\circ}+130^{\circ}=180^{\circ}$,
So, this pair of angles is supplementary.
$\therefore$ Sum of the given angles $=50^{\circ}+130^{\circ}=180^{\circ}$,
So, this pair of angles is supplementary.
Question 41 Mark
Is / $\|$ m? Why?
Answer
View full question & answer→Yes, because the alternate interior angles are equal, so $l \| m$.
Question 51 Mark
Lines /||m, t is a transversal; $\angle x=$ ?
Answer
View full question & answer→Given, $l \| m$ and $t$ is a transversal.
$\therefore \angle x=120^{\circ} \quad$ [pair of corresponding angles]
$\therefore \angle x=120^{\circ} \quad$ [pair of corresponding angles]
Question 61 Mark
$I_1, I_2$ are two lines, $t$ is a transversal. Is $\angle 1=\angle 2$ ?
Answer
View full question & answer→Given, $l_1$ and $l_2$ are any two non-parallel lines and $t$ is a transversal.
$
\therefore \angle1\neq \angle 2
$
$
\therefore \angle1\neq \angle 2
$
Question 71 Mark
Lines $a \| b, c$ is a transversal, $\angle y=$ ?
Answer
View full question & answer→Given, $a \| b$ and $c$ is a transversal.
$\therefore\angle y=55^{\circ} \quad$ [alternate interior angles]
$\therefore\angle y=55^{\circ} \quad$ [alternate interior angles]
Question 81 Mark
Lines /|| m, $t$ is a transversal, $\angle x=$ ?
Answer
View full question & answer→Given, $l \| m$ and $t$ is a transversal.
$
\therefore\angle x=60^{\circ} \quad \text { [alternate interior angles] }
$
$
\therefore\angle x=60^{\circ} \quad \text { [alternate interior angles] }
$
Question 91 Mark
Name the pairs of angles in each figure.
Answer
View full question & answer→$\angle 1$ and $\angle 2$ are pair of linear pair of angles.
Question 101 Mark
Name the pairs of angles in each figure.
Answer
View full question & answer→$\angle 9$ and $\Delta 0$ are pair of alternate interior angles.
Question 111 Mark
Name the pairs of angles in each figure.
Answer
View full question & answer→$\angle 7$ and $\angle 8$ are pair of corresponding angles.
Question 121 Mark
Name the pairs of angles in each figure.
Answer
View full question & answer→$\angle 5$ and $\angle 6$ are pair of interior angles on the same side of the transversal.
Question 131 Mark
Name the pairs of angles in each figure.
Answer
View full question & answer→$\angle 3$ and $\angle 4$ are pair of alternate interior angles.
Question 141 Mark
Name the pairs of angles in each figure.
Answer
View full question & answer→$\angle 1$ and $\angle 2$ are pair of corresponding angles.
Question 151 Mark
Suppose two lines are given. How many transversals can you draw for these lines?
Answer
View full question & answer→We can draw infinite number of transversals for two given lines.
Question 161 Mark
If two lines Intersect, do they always intersect at right angles?
Answer
View full question & answer→No, two intersecting lines do not always intersect at right angles.
Question 171 Mark
What is the measure of the complement of each of the following angles?
$54^{\circ}$
$54^{\circ}$
Answer
View full question & answer→$36^{\circ}$
Question 181 Mark
What is the measure of the complement of each of the following angles?
$41^{\circ}$$\quad$
$41^{\circ}$$\quad$
Answer
View full question & answer→$49^{\circ}$
Question 191 Mark
What is the measure of the complement of each of the following angles?
$65^{\circ}$
$65^{\circ}$
Answer
View full question & answer→$25^{\circ}$
Question 201 Mark
Answer
View full question & answer→In this pair, sum of two angles $=35^{\circ}+55^{\circ}=90^{\circ}$ which is equal to $90^{\circ}$.
So, this pair of angles is complementary.
So, this pair of angles is complementary.
Question 211 Mark
Which pairs of the following angles are complementary?
Answer
View full question & answer→In this pair, sum of two angles $=48^{\circ}+52^{\circ}=100^{\circ}$ which is greater than $90^{\circ}$.
So, this pair of angles is not complementary.
So, this pair of angles is not complementary.
Question 221 Mark
Which pairs of the following angles are complementary?
Answer
View full question & answer→In this pair, sum of two angles $=75^{\circ}+25^{\circ}=100^{\circ}$ which is greater than $90^{\circ}$.
So, this pair of angles is not complementary.
So, this pair of angles is not complementary.
Question 231 Mark
Which pairs of the following angles are complementary?
Answer
View full question & answer→In this pair, sum of two angles $=70^{\circ}+20^{\circ}=90^{\circ}$
So, this pair of angles is complementary.
So, this pair of angles is complementary.
Question 241 Mark
Can two right angles be supplementary?
Answer
View full question & answer→Yes, two right angles can be supplementary because the measure of each right angle is $90^{\circ}$, therefore the sum of two right angles would be $90^{\circ}+90^{\circ}=180^{\circ}$.
So, the two right angles are supplementary.
So, the two right angles are supplementary.
Question 251 Mark
Can two acute angles be supplementary?
Answer
View full question & answer→No, two acute angles cannot be supplementary because the measure of an acute angle is less than $90^{\circ}$. So, the sum of two acute angles would be less than $180^{\circ}$.
Question 261 Mark
Can two obtuse angles be supplementary?
Answer
View full question & answer→No, two obtuse angles cannot be supplementary because the measure of an obtuse angle is more than $90^{\circ}$. So, the sum of two obtuse angles would be more than $180^{\circ}$.
Question 271 Mark
Can two right angles be complement to each other?
Answer
View full question & answer→No, two right angles can never be complement to each other because measure of a right angle is $90^{\circ}$ and sum of two right angles is $180^{\circ}$, which is not equal to $90^{\circ}$.
Question 281 Mark
In the figures given below decide whether l is parallel to m.
Answer
View full question & answer→Since,$44^{\circ}+126^{\circ}=170^{\circ}$
But $170^{\circ} \neq 180^{\circ}$
i.e. the sum of the interior angles on the same side of the transversal is not $180^{\circ}$.
So, $I$ and $m$ are not parallel.
But $170^{\circ} \neq 180^{\circ}$
i.e. the sum of the interior angles on the same side of the transversal is not $180^{\circ}$.
So, $I$ and $m$ are not parallel.
Question 291 Mark
In the given figure, name the following pairs of angles.
Adjacent angles that do not form a linear pair.
Adjacent angles that do not form a linear pair.
Answer
View full question & answer→Adjacent angles that do not form a linear pair are $\angle A O B$ and $\angle A O E ; \angle A O E$ and $\angle E O D ; \angle E O D$ and $\angle C O D$.
Question 301 Mark
In the given figure, name the following pairs of angles.
Unequal supplementary angles.
Unequal supplementary angles.
Answer
View full question & answer→Unequal supplementary angles are $\angle E O A$ and $\angle E O C$.
Question 311 Mark
In the given figure, name the following pairs of angles.
Equal supplementary angles.
Equal supplementary angles.
Answer
View full question & answer→Equal supplementary angles are $\angle B O E$ and $\angle E O D$.
Question 321 Mark
In the given figure, name the following pairs of angles.
Adjacent complementary angles.
Adjacent complementary angles.
Answer
View full question & answer→Adjacent complementary angles are $\angle A O B$ and $\angle A O E$.
Question 331 Mark
In the given figure, name the following pairs of angles.
Obtuse vertically opposite angles.
Obtuse vertically opposite angles.
Answer
View full question & answer→A pair of obtuse vertically opposite angles are $\angle A O D$ and $\angle B O C$.
Question 341 Mark
An angle is greater than $45^{\circ}$. Is its complementary angle greater than $45^{\circ}$ or equal to $45^{\circ}$ or less than $45^{\circ} ?$
Answer
View full question & answer→We know that the sum of two complementary angles is $90^{\circ}$. So, if an angle is greater than $45^{\circ}$, then its complementary angle would be less than $45^{\circ}$.
Question 351 Mark
Can two angles be supplementary, if both of them are right?
Answer
View full question & answer→Yes, because sum of two right angles is always equal to $180^{\circ}$.
So, two right angles are supplementary.
So, two right angles are supplementary.
Question 361 Mark
Can two angles be supplementary, if both of them are obtuse?
Answer
View full question & answer→No, because sum of two obtuse angles is always greater than $180^{\circ}$.
So, two obtuse angles can never be supplementary.
So, two obtuse angles can never be supplementary.
Question 371 Mark
Can two angles be supplementary, if both of them are acute?
Answer
View full question & answer→No, because sum of two acute angles is always less than $180^{\circ}$.
So, two acute angles cannot be supplementary.
So, two acute angles cannot be supplementary.
Question 381 Mark
Identify which of the following pairs of angles are complementary and which are supplementary?
$80^{\circ}, 10^{\circ}$
$80^{\circ}, 10^{\circ}$
Answer
View full question & answer→Let $\angle x=80^{\circ}$ and $\angle y=10^{\circ}$
Now, $\angle x+\angle y=80^{\circ}+10^{\circ}=90^{\circ}$
Hence, $\angle x$ and $\angle y$ are complementary angles.
Now, $\angle x+\angle y=80^{\circ}+10^{\circ}=90^{\circ}$
Hence, $\angle x$ and $\angle y$ are complementary angles.
Question 391 Mark
Identify which of the following pairs of angles are complementary and which are supplementary?
$45^{\circ}, 45^{\circ}$
$45^{\circ}, 45^{\circ}$
Answer
View full question & answer→Let $\angle x=45^{\circ}$ and $\angle y=45^{\circ}$
Now, $\angle x+\angle y=45^{\circ}+45^{\circ}=90^{\circ}$
Hence, $\angle x$ and $\angle y$ are complementary angles.
Now, $\angle x+\angle y=45^{\circ}+45^{\circ}=90^{\circ}$
Hence, $\angle x$ and $\angle y$ are complementary angles.
Question 401 Mark
Identify which of the following pairs of angles are complementary and which are supplementary?
$130^{\circ}, 50^{\circ}$
$130^{\circ}, 50^{\circ}$
Answer
View full question & answer→Let $\angle x=130^{\circ}$ and $\angle y=50^{\circ}$
Now, $\angle x+\angle y=130^{\circ}+50^{\circ}=180^{\circ}$
Hence, $\angle x$ and $\angle y$ are supplementary angles.
Now, $\angle x+\angle y=130^{\circ}+50^{\circ}=180^{\circ}$
Hence, $\angle x$ and $\angle y$ are supplementary angles.
Question 411 Mark
Identify which of the following pairs of angles are complementary and which are supplementary?
$112^{\circ}, 68^{\circ}$
$112^{\circ}, 68^{\circ}$
Answer
View full question & answer→Let $\angle x=112^{\circ}$ and $\angle y=68^{\circ}$
Now, $\angle x+\angle y=112^{\circ}+68^{\circ}=180^{\circ}$
Hence, $\angle x$ and $\angle y$ are supplementary angles.
Now, $\angle x+\angle y=112^{\circ}+68^{\circ}=180^{\circ}$
Hence, $\angle x$ and $\angle y$ are supplementary angles.
Question 421 Mark
Identify which of the following pairs of angles are complementary and which are supplementary?
$63^{\circ}, 27^{\circ}$
$63^{\circ}, 27^{\circ}$
Answer
View full question & answer→Let $\angle x=63^{\circ}$ and $\angle y=27^{\circ}$
Now, $\angle x+\angle y=63^{\circ}+27^{\circ}=90^{\circ}$
Hence, $\angle x$ and $\angle y$ are complementary angles.
Now, $\angle x+\angle y=63^{\circ}+27^{\circ}=90^{\circ}$
Hence, $\angle x$ and $\angle y$ are complementary angles.
Question 431 Mark
Identify which of the following pairs of angles are complementary and which are supplementary?
$65^{\circ}, 115^{\circ}$
$65^{\circ}, 115^{\circ}$
Answer
View full question & answer→Let $\angle x=65^{\circ}$ and $\angle y=115^{\circ}$
Now, $\angle x+\angle y=65^{\circ}+115^{\circ}=180^{\circ}$
Hence, $\angle x$ and $\angle y$ are supplementary angles.
Now, $\angle x+\angle y=65^{\circ}+115^{\circ}=180^{\circ}$
Hence, $\angle x$ and $\angle y$ are supplementary angles.
Question 441 Mark
Answer
View full question & answer→Supplement angle of $154^{\circ}=180^{\circ}-154^{\circ}=26^{\circ}$
Question 451 Mark
Answer
View full question & answer→Supplement angle of $87^{\circ}=180^{\circ}-87^{\circ}=93^{\circ}$
Question 461 Mark
Answer
View full question & answer→Supplement angle of $105^{\circ}=180^{\circ}-105^{\circ}=75^{\circ}$
Question 471 Mark
Answer
View full question & answer→Complement angle of $57^{\circ}=90^{\circ}-57^{\circ}=33^{\circ}$
Question 481 Mark
Answer
View full question & answer→Complement angle of $63^{\circ}=90^{\circ}-63^{\circ}=27^{\circ}$
Question 491 Mark
Answer
View full question & answer→Complement angle of $20^{\circ}=90^{\circ}-20=70^{\circ}$
Question 501 Mark
Identify which of the following pairs of angles are complementary and which are supplementary.
$70^{\circ}, 20^{\circ}$
$70^{\circ}, 20^{\circ}$
Answer
View full question & answer→Given, angles are $70^{\circ}$ and $20^{\circ}$
$
70^{\circ}+20^{\circ}=90^{\circ}
$
Hence, $70^{\circ}$ and $20^{\circ}$ are complementary angles.
$
70^{\circ}+20^{\circ}=90^{\circ}
$
Hence, $70^{\circ}$ and $20^{\circ}$ are complementary angles.