In the following figure, if $A B \| C D, \angle A P Q=50^{\circ}$ and $\angle P R D=130^{\circ}$, then $\angle Q P R$ is
- A$130^{\circ}$
- B$50^{\circ}$
- ✓$80^{\circ}$
- D$30^{\circ}$
Answer: C.
View full solution →Question types
Lines and Angles question types
152 questions across 10 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.
152
Questions
10
Question groups
5
Question types
01
M.C.Q. [1 Marks Each]
15 Q→02Assertion (A) & Reason (B) MCQ
3 Q→03True False[1 Marks ]
5 Q→04BLANKS [1 Marks Each]
8 Q→051 Marks Question
60 Q→062 Marks Questions
32 Q→075 Marks Questions
9 Q→08case /data -based (4 Marks)
1 Q→09Match the following.
2 Q→103 Marks Question
17 Q→Sample Questions
Lines and Angles questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
The angles $x-10^{\circ}$ and $190^{\circ}-x$ are
- Ainterior angles on the same side of the transversal
- Bmaking a linear pair
- Ccomplementary
- ✓supplementary
Answer: D.
View full solution →
- A$\angle a=\angle b$
- B$\angle d=\angle c$
- C$\angle a+\angle d=180^{\circ}$
- ✓$\angle a=\angle d$
Answer: D.
View full solution →In the given figure, If $Q P \| S R$, then the value of a is
- A$40^{\circ}$
- B$30^{\circ}$
- ✓$90^{\circ}$
- D$80^{\circ}$
Answer: C.
View full solution →In the given figure, if $P A\|B C\| D T$ and $A B \| D G$, then the values of a and bare respectively
- A$60^{\circ}$ and $120^{\circ}$
- ✓$50^{\circ}$ and $150^{\circ}$
- C$70^{\circ}$ and $110^{\circ}$
- D$80^{\circ}$ and $100^{\circ}$
Answer: B.
View full solution →Assertion (A) In the given figure if /$\| m$, then $\angle 1=\angle 2$.
Reason (R) When a transversals intersects a set of parallel lines, then the alternate interior angles are equal to each other.
Reason (R) When a transversals intersects a set of parallel lines, then the alternate interior angles are equal to each other.
- ✓Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explantion of Assertion (A).
- BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- CAssertion (A) is true but Reason (R) is false.
- DAssertion (A) is false but Reason (R) is true.
Answer: A.
View full solution →Assertion (A) When the sum of the measures of two angle is $180^{\circ}$, the angles are called supplementary angles.
Reason (R) Two acute angles always be complement to each other.
Reason (R) Two acute angles always be complement to each other.
- ABoth Assertion (A) and Reason (R) are true and Reason (R) is the correct explantion of Assertion (A).
- BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- ✓Assertion (A) is true but Reason (R) is false.
- DAssertion (A) is false but Reason (R) is true.
Answer: C.
View full solution →Assertion (A) The sum of the measures of two complementary angles is $90^{\circ}$.
Reason (R) $65^{\circ}$ and $25^{\circ}$ are complementary angles.
Reason (R) $65^{\circ}$ and $25^{\circ}$ are complementary angles.
- ✓Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explantion of Assertion (A).
- BBoth Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- CAssertion (A) is true but Reason (R) is false.
- DAssertion (A) is false but Reason (R) is true.
Answer: A.
View full solution →One obtuse and one acute angle can make a pair of complementary angles.
Two right angles are complementary to each other.
Two right angles are always supplementary to each other.
Two supplementary angles are always obtuse angles.
An angle is more than $45^{\circ}$. Its complementary angle must be less than $45^{\circ}$.
View full solution →If two adjacent angles are supplementary, then they form a _______________ .
If two angles are supplementary, then the sum of their measures is _______________ .
If two angles are complementary, then the sum of their measures is _______________ .
If sum of measures of two angles is $180^{\circ}$, then the angles are _______________ .
View full solution →If sum of measures of two angles is $90^{\circ}$, then the angles are _______________ .
View full solution →What will be the measure of the supplement of each one of the following angles?
$125^{\circ}$
View full solution →$125^{\circ}$
What will be the measure of the supplement of each one of the following angles?
$55^{\circ}$
View full solution →$55^{\circ}$
Is / $\|$ m? Why?
Lines /||m, t is a transversal; $\angle x=$ ?
Among two supplementary angles, the measure of the larger angle is $44^{\circ}$ more than the measure of the smaller. Find their measures.
View full solution →What will be the measure of the supplement of each one of the following angles?
$90^{\circ}$
View full solution →$90^{\circ}$
What will be the measure of the supplement of each one of the following angles?
(i) $100^{\circ}$
View full solution →(i) $100^{\circ}$
List ten figures around you and identify the acute, obtuse and right angles found in them.
Amisha makes a star with the help of line segments $a, b, c, d, e$ and $f$ in which $a\|d, b\| e$ and $c \| f$. Chhaya marks an angle as $120^{\circ}$, as shown in figure and asks Amisha to find $\angle x, \angle y$ and $\angle z$. Help Amisha in finding the angles.
View full solution →In the following figure, $I \| m$ and a line $t$, intersects these lines at $P$ and $Q$, respectively. Find the value of $2 a+b$.
View full solution →In the given figure, examine whether the following pairs of lines are parallel or not.
Q.1. EF and GH
Q.2. AB and CD
Q.1. EF and GH
Q.2. AB and CD
A road crosses a railway line at an angle of $30^{\circ}$ as shown in figure. Find the values of $a, b$ and $c$.
View full solution →
Match Column A to Column B on the basis of following figure.
Lines/and mare parallel to each other, where line t Is transversal.
View full solution →Lines/and mare parallel to each other, where line t Is transversal.
| Column A | Column B |
| (i) $\angle 1$ is equal to | (a) $102^{\circ}$ |
| (ii) $\angle 2$ is equal to | (b) $78^{\circ}$ |
| (iii) $\angle 3$ is equal to | |
| (iv) $\angle 4$ is equal to |
Match Column A with Column B.
View full solution →| Column A | Column B |
| (i) Complement of $32^{\circ}$ | (a) $100^{\circ}$ |
| (ii) Complement of $42^{\circ}$ | (b) $58^{\circ}$ |
| (iii) Supplement of $80^{\circ}$ | (c) $48^{\circ}$ |
| (iv) Supplement of $81^{\circ}$ | (d) $99^{\circ}$ |
Lines /||m, p|| q, Find $a, b, c, d ?$
Try to identify a few transversals in your surroundings.
Find the measures of the angles made by the intersecting lines at the vertices of an equilateral triangle.
In the given figure, pll q. Find the unknown angles.
State the property that is used in each of the following statements.
(i) If $a \| b$, then $\angle 1=\angle 5$.
(ii) If $\angle 4=\angle 6$, then $a \| b$.
(iii) If $\angle 4+\angle 5=180^{\circ}$, then $a \| b$.
View full solution →(i) If $a \| b$, then $\angle 1=\angle 5$.
(ii) If $\angle 4=\angle 6$, then $a \| b$.
(iii) If $\angle 4+\angle 5=180^{\circ}$, then $a \| b$.
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