Question

In Fig. 8.137, if AB|| HF and DE||FG, then the measure of ∠FDE is
A. 108°
B. 80°
C. 100°
D. 90°

Answer 1

Given : AB || HF and DE || FG

From figure it is given that :  

∠HFC = 28° , ∠A = 25°  and ∠BDE = 72°

AB ‖ HF and CD is a transversal.

∠HFC = ∠FDA (Corresponding angle)

∠FDA =  28°  

∠FDA + ∠FDE + ∠EDB = 180° [Linear pair]

28°  + ∠FDE + 72° = 180°

100° + ∠FDE = 180°

∠FDE = 180° - 100°  

∠FDE = 80°

Hence , the measure of ∠FDE is   80°  .

Among the given options option  (B) 80°  is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

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Answer 2

Answer:

hfg+fde+edb =180

28+72+fde =180

100+fde =180

fde=100-180

fde =80