Question

In a ΔPQR, if ∠R = 650 PR = QR then find remaining angles​

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 △PQR,

⇒∠P+∠Q+∠R=180

∘

⇒∠P+∠Q+∠R=180

∘

since ∠Q=∠R=65

∘

(given)

⇒∠P+2×65

∘

=180

∘

⇒∠P=180

∘

−130

∘

=50

∘

∴∠P=50

hope it helps