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Lines and Angles
Question
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In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex angle EOC.

Answer

∵ BOA is a line
(∠AOC + ∠BOE) + ∠EOC = 180°
⇒ 70° + EOC = 180°
⇒    ∠EOC = 110°
⇒ Reflex ∠EOC = 360° - 110° = 250°

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Some More Questions From Lines and Angles Chapter

In figure, if y = 20°, prove that the line AOB is a straight line.

In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex angle EOC.

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