Question

 In given figure, lines AB and CD intersect at o. If ∠ + ∠ = 70 and ∠ = 40 , then find ∠​

Answer 1

In the given figure, lines AB and CD intersect at O.If ∠AOC+∠BOE=70 and ∠BOD=40 find ∠BOE.?

Answer:

Given:∠BOD=40

Since AB and CD intersects, ∠AOC=∠BOD(vertically opposite angles)

∠AOC=40

Also,∠AOC+∠BOE=70

⇒∠BOE=70 −∠AOC=70 −40 =30