Q30 of 113 Page 128

In Fig. 5.25, lines PQ and ST intersect at O. If ∠POR = 90° and x : y = 3 : 2, then z is equal to

x and y are complementary pairs while y and z are supplementary pairs.


∠POR + ∠QOR = 1800( Forms a linear pair)


⇒ ∠QOR = 900


Let x = 3t, y = 2t


∠QOR = x + y


⇒ ∠QOR = 5t


⇒ 900 = 5t


⇒ t = 180


y = 2t = 360


y + z = 1800


⇒ z = 1800-360


⇒ z = 1440

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