Question

△PQR is an isosceles triangle with PQ=PR. If ∠R=42°, then the measure of ∠P is ________​

Answer 1

Answer:

P= 96°

Step-by-step explanation:

Given that PQ=PR

So,Angle R is equal to Angle Q=42°

We know that sum of all angles of a triangle is 180°

so, R+Q+P=180

so, 42+42+P=180

Therefore, P= 180-(42+42)

so, P=180-84

P= 96°

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Answer 2

Solution:

We have ,

According to given figure.

PQ=PR ( given that )

QS=SR ( By defination of mid point )

PS=PS ( Commonline )

Then,

ΔSPQ≅ΔSPR ( BY congruency S.S.S. )

Hence,

PS bisects ∠PQR by definition of angle bisector.