Question

QUESTION:-IN THE GIVEN FIGURE LINES AB AND CD INTERSECT AT O. IF ∠AOC + ∠BOE =70° AND ∠BOD =40° FIND ∠BOE AND REFLEX ∠COE.​

Answer 1

Step-by-step explanation:

Summary: If the given figure lines AB and CD intersect at O, and it is given that ∠AOC + ∠BOE = 70° and ∠BOD = 40°, thus, ∠BOE = 30° and the reflex ∠COE = 250°.

Answer 2

$\huge\fbox\pink{A}\fbox\blue{N}\fbox\purple{S}\fbox\green{W}\fbox\red{E}\fbox\orange{R}$

On line AB

∠AOC+∠BOE+∠COE=180°[Linear Pair]

70°+∠COE=180°

∠COE=180°-70°

∠COE=110°

Reflex∠COE=360°-110°

=250°

∠COE=110°

Reflex∠COE=250°

On line CD

∠COE+∠BOE∠BOD=180°

∠110°+∠BOE+40°=180°

150°+∠BOE=180°

∠BOE=180°-50°

∠BOE=30°