Question

P Q R is a triangle which sides
QP and RQ are extended to
point s. and T. If angleSPR = 135
and /PQT = 110° If DPRT is a
parallelogran then find LDTQ
LD PQ

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Answer 1

Answer:

Ex 6.3, 1

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

SA

PO135°

450

70

Since TR is a line

Z PQT + Z PQR = 180° =

110° + Z PQR = 180° =

Z PQR = 180° – 110° =

Z PQR = 70°

Since QS is a line

Z SPR + Z QPR = 180°

135° + 2 QPR = 180°

Z QPR = 180° - 135°

Z QPR = 45°