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Geometry Lesson 1 - Angles & Polygons
Q1–10 of 40
1

What is the value of x in the given figure?


Correct Answer: A. 18°
Explanation:

P, O, Q lie on a straight line, so the angles 7x and 3x on it must add to 180°.


2

In the given figure, find the value of (a + b)

Correct Answer: B. 54°
Explanation:

P, O, Q lie on a straight line, so the angles 7x and 3x on it must add to 180°.

3

If 2a + 3, 3a + 2 are complementary, then a = ?

Correct Answer: A. 17°
Explanation:

P, O, Q lie on a straight line, so the angles 7x and 3x on it must add to 180°.


4

If 5x + 17° and x + 13° are supplementary, then x = ?

Correct Answer: B. 25°
Explanation:

P, O, Q lie on a straight line, so the angles 7x and 3x on it must add to 180°.


5

An angle is exactly half of its complementary angle, then find the angle.

Correct Answer: A. 30°
Explanation:

P, O, Q lie on a straight line, so the angles 7x and 3x on it must add to 180°.

6

In the following figure, lines L1 and L2 are parallel to each other. Find the value of q.


Correct Answer: B. 80°
Explanation:

Use the straight line for q + r (with the 45°), then use the fact that L1∥L2 to relate r to the 125° angle via co-interior angles.


7

In the given figure if L1 ∥ L2, then values of x, y, z are:


Correct Answer: B. 98°, 36°, 98°
Explanation:

Use the straight line for q + r (with the 45°), then use the fact that L1∥L2 to relate r to the 125° angle via co-interior angles.


8

In the given diagram if BC || ED and ∠BAC = 70°, then find the value of d and c.



Correct Answer: A. 52°, 58°
Explanation:

Use the straight line for q + r (with the 45°), then use the fact that L1∥L2 to relate r to the 125° angle via co-interior angles.


9

In the given diagram if AB || CD and ∠ABO = 60° and ∠BOC = 110°, find ∠OCD.


Correct Answer: B. 50°
Explanation:

Use the straight line for q + r (with the 45°), then use the fact that L1∥L2 to relate r to the 125° angle via co-interior angles.


10

In the figure given, two parallel lines are intersected by a transversal. Then, find the value of x.

Correct Answer: A. 40°
Explanation:

The two marked angles are on the same side between the parallel lines (co-interior/allied angles), so they sum to 180°: (3x+10°) + (x+10°) = 180°.


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