Question

Lines AB and CD intersect at O. If <AOC + <BOE = 80 and <BOD = 30, find <BOE and Reflex <COE​

Answer 1

Answer:

∠BOE = 50°, and

Reflex ∠COE = 260°

Step-by-step explanation:

∠AOC + ∠BOE = 80° (Given) -------- (1)

=> ∠AOC + ∠COE + ∠BOE =180° (Linear Pair)

From (1), we get

=> ∠COE + 80° = 180°

=> ∠COE = 100°

∠BOD = 30° (Given)

=> ∠COE + ∠ BOE + ∠BOD = 180° (Linear Pair)

=> 100° + ∠BOE + 30° = 180°

=> ∠BOE + 130° = 180°

=> ∠BOE = 50°

RefLex ∠COE = 360° - 100°

                       = 260°