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Lines and Angles MATHS - Lines and Angles

Gujarat Board (GSEB) - STD 7 - MATHS (GSEB - English Medium). 25 questions in this chapter.

Question types

Lines and Angles question types

25 questions across 5 question groups — pick any mix to generate a MATHS paper with step-by-step answer keys.

25
Questions
5
Question groups
5
Question types
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.

Q 1Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): When two lines intersect such that they form an angle of $35^{\circ}$ then its adjacent angle measures $55^{\circ}$ and vertically opposite angle measures $35^{\circ}$.
Reason (R): Vertically opposite angles are always equal.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertton (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) Is true.

Answer: D.

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Q 2Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Two right angles are always complementary angles.
Reason (R): An angle which is equal to twice its complement measures $60^{\circ}$.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertton (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • ✓
    Assertion (A) is false but Reason (R) Is true.

Answer: D.

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Q 3Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Two adjacent angles have a common arm and a common vertex.
Reason (R): Vertically opposite angles have a common vertex.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • ✓
    Both Assertton (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) Is true.

Answer: B.

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Q 4Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): When two straight lines intersect, two pairs of vertically opposite angles are formed.
Reason (R): Vertically opnosite anoles are alwavs sumplementary.
  • A
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertton (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • ✓
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) Is true.

Answer: C.

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Q 5Assertion (A) & Reason (B) MCQ1 Mark
Assertion (A): Two angles which form a linear pair are always supplementary.
Reason (R): Any two angles, sum of whose measures is $180^{\circ}$, are said to be supplementary.
  • ✓
    Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
  • B
    Both Assertton (A) and Reason (R) are true and Reason (R) is not the correct explanation of Assertion (A).
  • C
    Assertion (A) is true but Reason (R) is false.
  • D
    Assertion (A) is false but Reason (R) Is true.

Answer: A.

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Q 115 Marks Questions5 Marks
In the given figure, two straight line $PQ$ and $RS$ intersect at a $O$. If $\angle\text{POS} = 114^\circ, $ find the measure of each of the angles:

$i. \angle\text{POR}$
$ii. \angle\text{ROQ}$
$iii. \angle\text{QOS}$
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Q 125 Marks Questions5 Marks
In the given figure, two straight line $AB$ and $CD$ intersect at a point $O$. If $\angle\text{AOC} = 42^\circ,$ find the measure of each of the angles:

$i. \angle\text{AOD}$
$ii. \angle\text{BOD}$
$iii. \angle\text{COB}$
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Q 13case /data -based (4 Marks)4 Marks
Saumya sketched four straight lines all intersecting at a point $O$. She studied the angles formed due to the intersection of these lines and found that $\angle B O C=90^{\circ}$.
Image
Q.1. Which of the following is a pair of perpendicular lines?
(a) AB, GH$\quad$ (b) CD, АВ$\quad$(c) EF, GH$\quad$(d) CD, EF
Q.2. Which of the following is a pair of complementary angles?
(a) $\angle E O C, \angle C O B$$\quad$(b) $\angle G O F, \angle F O H$$\quad$(c) $\angle A O H, \angle H O D$$\quad$(d) $\angle B O F, \angle F O A$
Q.3. Which of the following is a pair of supplementary angles?
(a) $\angle C O E, \angle E O H$$\quad$(b) $\angle B O F, \angle F O A$$\quad$(c) $\angle G O F, \angle F O D$$\quad$(d) $\angle E O G, \angle G O B$
Q.4. Which of the following is a pair of vertically angles?
(a) $\angle E O A, \angle F O B$$\quad$(b) $\angle C O G, \angle D O F$$\quad$(c) $\angle F O H, \angle G O C$$\quad$(d) $\angle A O G, \angle H O F$
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Q 143 Marks Question3 Marks
In the given figure, $AOB$ is a straight line and the rays $OC$ and $OD$ stands on it. If $\angle\text{AOC} = 65^\circ, \angle\text{BOD} = 70^\circ$ and $\angle\text{COD} = \text{x}^\circ $find the value of $x.$
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Q 173 Marks Question3 Marks
In the given figure, $AOB$ is a straight line and the ray $OC$ stands on it. If $\angle\text{AOC} = (2\text{x} -10)^\circ$ and $\angle\text{BOC} = (3\text{x} + 20)^\circ,$ find the value of $x.$ Also, find $\angle\text{AOC}$ and $\angle\text{BO}.$
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Q 183 Marks Question3 Marks
In the given figure, rays $OA, OB, OC$ and $OD$ are such that $\angle\text{AOB} = 56^\circ,\angle\text{BOC} =100^\circ, \angle\text{COD} = \text{x}^\circ$ and $\angle\text{DOA} = 74^\circ.$ Find the value of $x.$
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