Question

angle A and angle B are vertically opposite angles,and angle A=5x and angle B=90 degree+2x.Find the value of x​

Answer 1

Step-by-step explanation:

As angle A and angle B are vertically opposite angles, then (angle A = angle B)

angle A = angle B

5x = 90° + 2x

5x - 3x = 90°

2x = 90°

x = 45°

Answer 2

When two straight lines intersect each other four angles are formed.

The pair of angles which lie on the opposite sides of the point of intersection are called vertically opposite angles.

In the given figure, two straight lines AB and CD intersect each other at point O. Angles AOD and BOC form one pair of vertically opposite angles; whereas angles AOC and BOD form another pair of vertically opposite angles.

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