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Question
In the below fig, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.
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Solution
Vertically opposite angles are equal
So `∠`BOD = z = 90°
`∠`DOF = y = 50°
Now,x + y + z = 180° [Linear pair]
⇒ x + y + z = 180°
⇒ 90° + 50° + x = 180°
⇒ x = 180° -140°
⇒ x = 40°
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