Question

0. In the figure, lines AB and CD intersect at O If ∠AOC + ∠BOE = 65° and ∠BOD = 30° then reflex∠BOE = ____________

Answer 1

angle BOE =35°.........

Answer 2

SOLUTION ::

Here lines AB and CD intersect at O

We know that vertically opposite angles are equal

So

∠ AOC = ∠ BOD

It is given that ∠ BOD = 30°

So ∠ AOC = 30°

Again by the given condition

∠AOC + ∠BOE = 65°

So ∠BOE = 65° - 30° = 35°

So Reflex ∠BOE = 360° - 35° = 325°