Parallel and Intersecting Lines Class 7 MCQ
hardParallel and Intersecting Lines Class 7 MCQ
Parallel and Intersecting Lines Class 7 MCQ
Question 1.
In the following figure, which of the pair of angles are not corresponding angles ?
(a) ∠2 and ∠6
(b) ∠4 and ∠8
(c) ∠3 and ∠7
(d) ∠1 and ∠6
Solution:
(d) ∠1 and ∠6
Question 2.
In the following figure, lines p and q are parallel.
What is the value of y ?
(a) 32°
(b) 64°
(c) 116°
(d) 148°
Solution:
(b) 64°
Question 3.
In the following figure, OP is perpendicular to RT, where O is the point of intersection of two lines QS and RT.
What is the value of ∠ROS ?
(a) 43°
(b) 133°
(c) 137°
(d) 143°
Solution:
(b) 133°
Question 4.
If one of the angles of a linear pair is 105°, then its other angle is
(a) 75°
(b) 45°
(c) 65°
(d) 55°
Solution:
(a) 75°
Question 5.
If the sum of two vertically opposite angles is 130°, then each of these angles is
(a) 55°
(b) 60°
(c) 65°
(d) 70°
Solution:
(c) 65°
Case Study
Question 1.
The teacher draws five lines l, m, n, p and q on the blackboard such that p is parallel to q and lines l, m and n are parallel to each other.
(a) What is the value of ∠6 ?
(b) What is the value of ∠1 ?
(c) What is the value of ∠4 ?
(d) What is the value of ∠5 ?
(e) What is the value of ∠2 ?
(f) What is the value of ∠3 ?
Solution:
(a) ∠6 = 180° - 55° = 125°
(b) ∠1 = ∠6 = 125°
(c) ∠4 = 55° (Vertically opposite angles)
(d) ∠5 = ∠4 = 55°
(e) ∠2 = 55° (Corresponding angles)
(f) ∠r = ∠5 = 55°.
So, ∠3 = 180° - 55° = 125°.
Question 2.
Teacher draws a figure on the blackboard in which points A, O and B are collinear and OC is perpendicular to OD.
State True or False :
(a) Sum of the angles AOC and BOD is 90°.
(b) Angles BOD and AOC are adjacent.
(c) Angles AOC and DOC are adjacent.
(d) Angles COD and BOD are adjacent.
(e) Sum of the angles COD and BOD is 180°.
(f) Measure of ∠BOD is
(i) 22[latex]\frac {1}{2}[/latex]° (ii) 45° (iii) 60° (iv) 67[latex]\frac {1}{2}[/latex]°
Solution:
(a) True
(b) False
(c) True
(d) True
(e) False
(f) (iv)