Question

Produced to point s and t respectively if angle SPR =135degree and angle PQT =110degree. Then find angle PRQ

Answer 1

Step-by-step explanation:

∠PQT+∠PQR=180

∘

(Straight angle made on line TR at point Q)

110

∘

+∠PQR=180

∘

∠PQR=180

∘

−110

∘

=70

∘

In △PQR

∠PSR=∠PQR+∠PRQ (Exterior angle of triangle is eqal to sum of two interior angles)

135

∘

=70

∘

+∠PRQ

∠PRQ=135

∘

−70

∘

=65

∘