Question

In the figure, Ð1 and Ð3 are vertical angles, and Ð2 and Ð4 are vertical angles.

If mÐ2 = 30°, find mÐ4.

120°


150°


30°


60°

Answer 1

mÐ4 = 30°

Explanation:

Vertical angles are angles that are opposite to each other, thus are said to be equal.

Since,

i. Ð1 and Ð3 are vertical angles

ii. Ð2 and Ð4 are vertical angles

This implies that the measure of Ð1 and Ð3 are congruent. And also the measure of Ð2 and Ð4 are congruent.

So that, if mÐ2 = 30°, it would be expected that mÐ4 has the same measure. This implies that mÐ4 = 30°.