Question

answer it step by step ​

Answer 1

Answer:

∠DEF = 72°

∠DGC = 72°

Step-by-step explanation:

Given that, the arms of the two angles are parallel.

AB║DE, BC║EF

∠DEF = ∠BGE  [alternate interior angles ∵ BC║EF DGE is a transversal]

Again, ∠BGE = ∠ABC [alternate interior angles ∵ AB║DE BGC is a transversal]

∴ ∠DEF = ∠ABC = 72°

∠DGC = ∠ABC [corresponding angles ∵ AB║DE BGC is a transversal]

∴ ∠DGC = ∠ABC = 72°