Question

In the adjoining figure, the corresponding arms of ∠∠are parallel. If ∠ABC = 72o, find ∠DEF with appropriate reasons.

Answer 1

Answer:

Sides of the two angles are parallel so AB∥DGE and line BGC∥EF

i)If AB∥DGE and BC is transversal line, then

∠DGC=∠ABC=70

∘

(Corresponding angle)

ii)If line BGC∥EF and DE is transversal line, then

∠DEF=∠DGC=70

∘

(Corresponding angle)