Math, asked by bhavyrnk15, 19 days ago

In the following figure, lines AB and CD intersect at O. If Z AOC + Z BOE 100' and Z BOD = 40°; find Z BOE and reflex 2 COE​

Answers

Answered by MysteriesGirl
31

{ \huge{ \boxed{ \bf{\underline{ \red{Answer}}}}}} : -

∴ ∠AOC + ∠COE + ∠EOB = 180°

or (∠AOC + ∠BOE) + ∠COE = 180° or 70° + ∠COE = 180° [ ∵∠AOC + ∠BOE = 70° (Given)]

or ∠COE = 180° – 70° = 110°

∴ Reflex ∠COE = 360° – 110° = 250°

Also, AB and CD intersect at O.

∴∠COA = ∠BOD [Vertically opposite angles]

But ∠BOD = 40° [Given]

∴ ∠COA = 40°

Also, ∠AOC + ∠BOE = 70°

∴ 40° + ∠BOE = 70° or ∠BOE = 70° -40° = 30°

Thus, ∠BOE = 30° and reflex ∠COE = 250°.

Similar questions