1.

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

Answer»

(i)Given, AB DE and BC is a transversal line and ∠ABC = 70° 

∵ ∠ ABC = ∠ DGC [Corresponding angles]

Therefore, ∠DGC = 70° ……….(i)

(ii) Given, BC EF and DE is a transversal line and ∠DGC = 70°

∵ ∠ DGC = ∠ DEF [Corresponding angles]

Therefore, ∠ DEF = 70° [From eq. (i)]



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