In the given figure, the arms of two angles are parallel. If ∠ABC =

1.	In the given figure, the arms of two angles are parallel. If ∠ABC = 70°, then find (i) ∠DGC (ii) ∠DEF
Answer» We have AB\|\|ED and BC \|\| EF (i) BC is transversal ∠DGC = ∠ABC [corresponding angles] But ∠ABC = 70° ∠DGC = 70° (ii) ED is a transversal to BC\|\|EF ∴ ∠DEF = ∠DGC [corresponding] ∠DGC = 70° ∠DEF = 70°

In the given figure, the arms of two angles are parallel. If ∠ABC = 70°, then find (i) ∠DGC (ii) ∠DEF

Answer»

We have AB||ED and BC || EF

(i) BC is transversal

∠DGC = ∠ABC [corresponding angles]

But ∠ABC = 70°

∠DGC = 70°

(ii) ED is a transversal to BC||EF

∴ ∠DEF = ∠DGC [corresponding]

∠DGC = 70°

∠DEF = 70°