Question

Consider the intersecting lines shown. Which of the following statements is true?

Question 10 options:


A)
∠y ≅ ∠z


B)
∠x ≅ ∠y


C)
m∠x + m∠y = 180°


D)
m∠x + m∠y = 90°

Answer 1

C. m∠x + m∠y = 180

Explanation:

The two straight line in the diagram intersect each other to form two pairs of vertical angles. These are <x and <z, and <y and w.

The only statement from the given options that is true is m∠x + m∠y = 180.

This is because they are angles in a straight line. The sun of angles in a straight line is 180°.