If line AD is parallel to line EH, and the measure of angle I is 52 degrees and the measure of angle FBC is 42 degrees, what is the measure of angle IGF?

Answer:
∠IGF = 86°
Step-by-step explanation:
Given AD and EH are parallel, then
∠GFI = ∠FBC = 42° (corresponding angles )
The sum of the 3 angles in a triangle = 180°
Subtract the 2 angles in ΔFGI from 180 for ∠IGF
∠IGF = 180° - (52 + 42)° = 180° - 94° = 86°