Answer:
b. Measure of Angle FEG = 70°, Measure of Angle HEG = 110°
Step-by-step explanation:
Angle FEG is adjacent and supplementary to the angle with the measure that we are given, Angle DEF, which measures 110 degrees.
We know that supplementary angles add up together to a total of 180 degrees.
So to find the measure of Angle FEG, we subtract the measure of Angle DEF from 180 degrees.
Measure of Angle FEG = 180 degrees - Measure of Angle DEF
Measure of Angle FEG = 180 degrees - 110 degrees
Measure of Angle FEG = 70 degrees
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Angle HEG is a vertical angle to the angle that we are given, Angle DEF, which measure 110 degrees. Since vertical angles are congruent, we know that the measure of Angle HEG is equal to the measure of Angle DEF, so Angle HEG measures 110 degrees, also.
Measure of Angle HEG = Measure of Angle DEF
Measure of Angle HEG = 110 degrees
