Question

In Fig., if AB || HF and DE || FG, then the measure of ∠FDE is

A. 108°

B. 80°

C. 100°

D. 90°

Answer 1

Given that,

AB ‖ HF and CD cuts them

∠HFC = ∠FDA (Corresponding angle)

∠FDA = 28°

∠FDA + ∠FDE + ∠EDB = 180°(Linear pair)

28° + ∠FDE + 72° = 180°

∠FDE = 80°