A triangle PQR prove that sum of its angle = 180 degree Answer Fast

1.	A triangle PQR prove that sum of its angle = 180 degree Answer Fast
Answer» $\huge{\bf{\underline{\purple{Answer :}}}}$ $\bold{\red{Angle \ sum \ Property \ of \ triangle :-}}}$ ⇒The sum of three angles of a triangle is 180° and this property of triangle is called Angle sum Property of Triangle . $\rule{200}2$ GIVEN, PQR is a triangle To Prove , ∠P + ∠Q + ∠R = 180° Construction, Extend QR to the POINT M . At the point R , draw RN \|\| PQ Proof, ⇒PQ\|\|NR And PR is transversal Therefore, $\implies \bold{\angle QPR = \angle PRN }$ ................. 1) ( by ALTERNATIVE interior angle ) ⇒PQ\|\|NR and QM is the transversal . Therefore, $\implies \bold{ \angle PQR = \angle NRM}$ ................. 2) ( by Corresponding Angle) From the According to Figure Construction :- $\implies \bold{\angle PRQ + \angle PRN + \angle NRM = 180^{\circ}}$ ............(by Linear pair ) Now From first and Second Equation : $\implies \bold{\angle P + \angle Q + \angle R = 180^{\circ}}$ Hence Proved $\rule{200}2$

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