Question

EXERCISE 6.3
1. In Fig. 6.39, sides QP and RQ of APQR are produced to points S and T respectively.
If Z SPR = 135º and Z PQT = 110°,find Z PRO.
W
A
TES
1-Z

Answer 1

Given that :-

Sides QP and RQ of ∆PQR are produced to points S and T respectively.

∠SPR = 135°

∠PQT = 110°

Find :-

∠PRQ = ?

Calculation :-

∠QRP = 180 – ∠SRP = 180 – 135° = 45°

∠PQR = 180 – ∠ PQT = 180 – 110° = 70° { Linear pair }

In ∆PQR, sum of all 3 angles = 180°

➻ ∠P + ∠Q + ∠R + 180°

➻ 45° + 70° + ∠PRQ = 180°

➻ 115° + ∠PRQ = 180°

➻ ∠PRQ = 180° – 115°

➻ ∠PRQ = 65°

hope it helps.