Question

In A PQRPQ = P RandZQ = 65°, then P is​

Answer 1

Answer:-

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 triangle PQR,

⇒∠P+∠Q+∠R=180°

⇒∠P+∠Q+∠Q=180° (∵∠Q=∠R)

⇒∠P+65°+65°=180°

⇒∠P+130°=180°

⇒∠P=180°-130°

⇒∠P=50°  

Or

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°