Question

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

Options

• 108°

• 80°

• 100°

• 90°

Answer 1

The given figure is as follows:

It is given that . AB || HF

Thus, x and ∠HFC form a linear pair, therefore,

∠HFC + x = 180°

28° + = 180°

      x = 180° - 28°

       x = 152°       (1)

Also ED || GF

Thus, x and ∠FDB are corresponding interior opposite angles, therefore,

   ∠FDB = x

y + 72° = x

          y = x - 72°

From (i):

 y = 152° - 72°

y = 80°

Thus, ∠FDE = 80°