CLASS- 9 LINES AND ANGLES EXERCISE 6.3

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.
2. In Fig. 6.40, ∠ X = 62°, ∠ XYZ = 54°. If YO and ZO are the bisectors of ∠ XYZ and
∠ XZY respectively of ∆ XYZ, find ∠ OZY and ∠ YOZ.
3. In Fig. 6.41, if AB || DE, ∠ BAC = 35° and ∠ CDE = 53°, find ∠ DCE.
Fig. 6.39 Fig. 6.40 Fig. 6.41
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.
2015-16 (28/10/2014)
108 MATHEMATICS
5. In Fig. 6.43, if PQ ⊥ PS, PQ || SR, ∠ SQR = 28° and ∠ QRT = 65°, then find the values
of x and y.
Fig. 6.42 Fig. 6.43
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.