Question

Please hurry find the measure of P

Answer 1

m<P and m<O are equal as it's isosceles traingle

• Let both be x

`\\ \rm\hookrightarrow 2x+50=180`

`\\ \rm\hookrightarrow 2x=130`

`\\ \rm\hookrightarrow x=65`

Answer 2

m∠P = 65°

Explanation:

An Isosceles triangle has two sides of equal length and two interior angles of equal measure.

Sum of interior angles of a triangle = 180°

If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O

⇒ m∠Q + m∠P + m∠O = 180

⇒ 50 + m∠P + m∠O = 180

⇒ m∠P + m∠O = 130

As m∠P ≅ m∠O:

⇒ m∠P = 130 ÷ 2 = 65°