Question

In figure, sides QP and RQ of angle PQR are produced
to the points S and T respectively if angle SPR' = 135°
and angle PQT = 110° then find angle PRQ

please answer this question its urgent ​

Answer 1

Step-by-step explanation:

In figure, sides QP and RQ of ∆PQR are produced to points S and T respectively. If ∠SPR = 135° and ∠PQT = 110°. find ∠PRQ. ⇒ ∠PRQ = 180° - 115° = 65°

Answer 2

Answer: 65°

Step-by-step explanation:

In the figure, ∠SPQ= 180°

⇒∠SPR + ∠RPQ = 180°

⇒135° + ∠RPQ = 180°

⇒∠RPQ = 180°-135° = 45°

Also, ∠RQT= 180°

⇒ ∠RQS + ∠SQT = 180°

⇒ ∠RQS + 110°= 180°

⇒ ∠RQS= 180° - 110°= 70°

Now, in ΔPQR

∠RQS + ∠RPQ + ∠PRQ = 180°

⇒70° + 45° + ∠PRQ = 180°

⇒115° + ∠PRQ = 180°

⇒∠PRQ = 180° - 115°= 65°