Question

In triangle PQR PQ= PR angleQ= 65 degrree then find angle p

Answer 1

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 triangle PQR,
⇒∠P+∠Q+∠R=180°
⇒∠P+∠Q+∠Q=180° (∵∠Q=∠R)
⇒∠P+65°+65°=180°
⇒∠P+130°=180°
⇒∠P=180°-130°
⇒∠P=50°  

Answer 2

Answer:

50°  

Step-by-step explanation:

We are given that PQ=PR

Theorem: If two sides of a triangle are equal then the opposite angles to the sides are equal.

PQ=PR

SO,∠Q=∠R

In Δ PQR,

⇒∠P+∠Q+∠R=180°(Angle sum property of triangle)

⇒∠P+∠Q+∠Q=180° (∵∠Q=∠R)

⇒∠P+65°+65°=180°

⇒∠P+130°=180°

⇒∠P=180°-130°

⇒∠P=50°  

Hence The angle p is 50°