Answer:
∠EGA = 123°
∠EHD = 57°
Step-by-step explanation:
Determine the measure of ∠EGA:
Since ∠EGB and ∠EGA make up the angle of a straight line (180°):
∠EGB+∠EGA = 180
57+∠EGA = 180 (given that ∠EGB = 57°)
∠EGA = 123°
Determine the measure of ∠EHD:
∠EHD = ∠EGB (corresponding angles of parallel lines are equal)
∠EHD = 57° (given that ∠EGB = 57°)
Hope this helps :)
