As shown in the given figure line a // line b ⇒ given MR and NP are transversals So, for ΔMOP and ΔRON , we can conclude the following (1) ∠1 = ∠2 ⇒⇒⇒ alternative angles are congruent (2) ∠ MOP = ∠ RON ⇒⇒⇒ vertical angles are congruent (3) ∠ 4 = ∠ 3 ⇒⇒⇒ alternative angles are congruent
So, from 1,2 and 3 ∴ ΔMOP <span>~ </span>ΔRON by AAA-Rule