Question

15) In the figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 105° and ∠BOD = 45°, find ∠BOE and reflex ∠COE.​

Answer 1

Step-by-step explanation:

angle AOC + angle AOC = 105

& angle BOD = 45

AOC is a straight line

angle AOC + angle BOE + angle COE = 180

105 + angle COE = 180

angle COE = 180 - 105

angle COE = 75

angle BOD = angle AOC = 45

According to the Question,

angle AOC + angle BOE = 105

75 + angle BOE = 105

angle BOE = 105 -75

angle BOE = 30