Question

Lines AB and CD intersect at point O. If ∠AOC + ∠BOE = 100° , find ∠COE.

• A. 60°
• B. 50°
• C. 80°
• D. 40°

Answer 1

The correct option is C

80°

AB is a straight line, so sum of all the angles at 'O' above the line is 180∘

i.e. ∠AOC + ∠COE + ∠EOB = 180${}^{\circ }$

or, ∠COE = 180${}^{\circ }$ - (∠AOC + ∠BOE)

or, ∠COE = 80${}^{\circ }$