Question

PQR is an isosceles triangle with PQ = QR.
PSR is an isosceles triangle with PS = PR
PS an QT are parallel lines.
Angle SPR = 50
Find - angle PQR
angle QRS

Answer 1

Answer:

We have,

According to given figure.

PQ=PR(giventhat)

QS=SR(Bydefinationofmidpoint)

PS=PS(Commonline)

Then,

ΔSPQ≅ΔSPR (BY congruency S.S.S.)

Hence, PS bisects ∠PQR by definition of angle bisector.