Chapter 6 – Lines and Angles Exercise 6.3

(Q 1) In fig 6.39, sides QP and RQ of ∆PQR are produced to points S and T respectively. If ∠SPR= 135° and ∠PQT=110° , find ∠PRQ .

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(Q 2) In fig. 6.40, ∠x=62° and ∠XYZ=54° . If YO and ZO are the bisectors of ∠XYZ and ∠XZY rspectively of ∆ XYZ , find ∠OZY and ∠YOZ .

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(Q 3) In fig 6.41, If AB∥DE , ∠BAC= 35° and ∠CDE= 53° , find ∠DCE .

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(Q 4) In Fig. 6.42, if lines PQ and RS intersect at point T, such that ∠PRT= 40°, ∠RPT= 95° and ∠TSQ= 75°, find ∠SQT.

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(Q 5) In Fig. 6.43, if PQ⊥PS , PQ∥SR , ∠SQR= 28° and ∠QRT= 65° , then find the values of x and y .

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(Q 6) In Fig. 6.44, the side QR of ∆PQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at point T, then prove that ∠QTR= 1/2 ∠QPR .

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