Question

∆PQR, PQ =PR and ∠Q=650

, find ∠P.​

Answer 1

Answer: ∠P=50∘

Step-by-step explanation:

By using the theorem,If two sides of a triangle are equal then the opposite angles to the sides are equal.

⇒ If PQ=PR then ∠Q=∠R

In △PQR,

⇒∠P+∠Q+∠R=180∘

⇒∠P+∠Q+∠R=180∘ since ∠Q=∠R=65∘(given)

⇒∠P+2×65∘=180∘

⇒∠P=180∘−130∘=50∘

∴∠P=50∘

Answer 2

Step-by-step explanation:

∆PQR, PQ =PR and ∠Q=650

, find ∠P. = P=150