Question

in a triangle PQR,PQ=PR and ∠P=70°. find ∠Q and ∠R​

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° 

this is helpful for you ..

Answer 2

Step-by-step explanation:

Given that PQ=PR then ∠R=∠Q=x

∠P+∠Q+∠R=180∘

x+x+40∘=180∘

x=70∘.

∠R=∠Q=70∘.