Question

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 1

∠IGF = 86°

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°