Question

What is the measure of angle F? A. 75 B. 65 C. 55 D. cannot be determined

Answer 1

GH = FH

if G angle is 65 than F angle is also 65 being twin angles. Therefore H angle can only be 50 because in a triangle all angles combined must sum to 180 degrees!

The answer is B: 65

Answer 2

twin sides stemming from a common vertex, make twin angles, since the HG = HF, then ∡G = ∡F.