Question

What is the measure of angle x Enter your answer in the box

Answer 1

x = 83°

Solution:

The reference image to the answer is given below.

Sum of the adjacent angles in a straight line = 180°

⇒ ∠1 + ∠2 + ∠3 = 180°      (Refer image)

⇒ 56° + ∠2 + 41° = 180°

⇒ 56° + 41° + ∠2 = 180°

⇒ 97° + ∠2 = 180°

⇒ ∠2 = 180° – 97°

⇒ ∠2 = 83°

In the given image ∠5 and ∠2 are vertically opposite angles.

Vertical angle theorem:

Vertically opposite angles are equal.

⇒ ∠5 = ∠2

⇒ x = ∠2

⇒ x = 83°

Hence the measure of angle x is 83°.