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Q2 of 115 Page 8

In Fig. 8.57, three coplanar lines intersect at a point O, forming angles as shown in the figure, Find the values of x, y, z and u.

Since,

Vertically opposite angles are equal

So,

∠BOD = z = 90^o

∠DOF = y = 50^o

Now,

x + y + z = 180^o (Linear pair)

x + 90^o + 50^o = 180⁰

x = 40^o

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19

In Fig. 8.48, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ∠ROS = (∠QOS –∠POS.)

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