Question

in the given figure AB || CD and transversal, PQ and RS cut them at points M, N, and G, H. if ∠MNH = 70° and ∠GHN = 60° then find the other angles without measuring.

Answer 1

Step-by-step explanation:

Angle HNM=Angle AMN=70°

Angle NHG=Angle BGH=60°

Angle AMN+Angle GMN=180°

70°+ Angle GMN=180°

Angle GMN=180°-70°

Angle GMN=100°

Angle BGH + Angle HGM =180°

60°+Angle HGM=180°

Angle HGM=180°-60°

Angle HGM=100°