Question

15. In the given figure, sides QP and RQ of APQR are produced to points S and T
respectively. If ZSPR= 135º and ZPQT = 110°, find ZPRQ.​

Answer 1

☆first find ∠QPR

• ∠QPR+∠SPR=180° (linear pairs)

•∠QPR+135°=180°

•∠QPR=180°-135°

•∠QPR=45°

☆second find ∠PQR

• ∠PQR+∠TQP=180° (linear pairs)

• ∠PQR+110°=180°

• ∠PQR=180°-110°

• ∠PQR=70°

☆third find ∠QRP

• ∠QRP+∠PQR+∠QPR=180°

• ∠QRP+70°+45°=180°

• ∠QRP+115°=180°

• ∠QRP=180°-115°

• ∠QRP=65°

thus, value of ∠QRP=65°