Question

In the isosceles ∆PQR , ∠P and ∠Q are equal. ∠PRS is an exterior angle of ∆PQR. The
measures of ∠PQR and ∠PRS are (x – 10)0 and (2x + 40)0 respectively. Find the measures of
∠PRQ and ∠PRS. Also find measures of ∠P and ∠Q​

Answer 1

Answer:

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.

Answer 2

Step-by-step explanation:

In the isosceles ∆PQR , ∠P and ∠Q are equal. ∠PRS is an exterior angle of ∆PQR. The

measures of ∠PQR and ∠PRS are (x – 10)0 and (2x + 40)0 respectively. Find the measures of

∠PRQ and ∠PRS. Also find measures of ∠P and ∠Q