Question

In the given figure, the arms of two angles are parallel.

If ∠ABC = 70°, then find

1. ∠DGC
2. ∠DEF

Answer 1

i. Consider that AB || DG and a transversal line BC is intersecting them.

∠DGC = ∠ABC (Corresponding angles)

∠DGC = 70°

ii. Consider that BC || EF and a transversal line DE is intersecting them.

∠DEF = ∠DGC (Corresponding angles)

∠DEF = 70°