Question

Please help!!!

Question 1: What is the measure of ZD?

A: 107
B: 37
C: 64
D: 73

Question 2
What is the measure of ZE?

A: 43
B: 73
C: 116
D: 64

What is the measure of ZG?

A: 43
B: 73
C: 137
D: 116

Answer 1

C, A, C

Explanation:

1) Angle D corresponds to angle A, so since corresponding angles of similar triangles are congruent, it measures 64 degrees.

2) Angle E corresponds to angle B. To find the measure of angle B, we can start by using the fact that angles F and C correspond. This means that in triangle ABC, we have angles with measures of 64 degrees, 73 degrees, and angle B. It follows that angle B, and thus angle E, measures 43 degrees.

3) By the exterior angle theorem, the measure of angle G is equal to the measure of angles D and F combined. The measure of angle D is 64 degrees, and the measure of angle F is 73 degrees, so angle G measures 137 degrees.