In figure, rays AB and CD intersect at O. Determine x when y = 40… - Vidyadip

Question

In figure, rays AB and CD intersect at O.
Determine x when y = 40°.

✓

Answer

Here,$\angle\text{AOC}+\angle\text{BOC}=180^\circ$ [linear pair]
⇒ 2x + y = 180° ⇒ 2x + 40 = 180° ⇒ 2x = 180 - 40 = 140° ⇒ 2x = 140° ⇒ x = 70°

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