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In the figure, lines AB and CD intersect at O. If AOC+ BOE={

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In the figure, lines $A B$ and $C D$ intersect at $O$ . If $∠ A OC + ∠ BOE = 70$ and $∠ BO D = 40$ , find $∠ BOE$ and reflex $∠ COE$ .

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Mila Discussed

In the figure, lines

A B

and

C D

intersect at

O

. If

∠ A OC + ∠ BOE = 70

and

∠ BO D = 40

, find

∠ BOE

and reflex

∠ COE

7 mins ago

Discuss this question LIVE

7 mins ago

Text solutionVerified

In given figure

A B

is a straight line and

OC

and

OE

meets at point

O

A B

∠ A OC + ∠ BOE + ∠ COE = 18 0^{\circ}

As given

∠ A OC + ∠ BOE = 7 0^{\circ}

∴ 70 + ∠ COE = 18 0^{\circ}

\Rightarrow ∠ COE = 180 - 70 = 11 0^{\circ}

Reflex

∠ COE = 36 0^{\circ} - 11 0^{\circ} = 25 0^{\circ}

∵

C D

is a straight line and

OE

and

OB

stand on it

∠ COE + ∠ BOE + ∠ BO D = 18 0^{\circ}

11 0^{\circ} + ∠ BOE + 4 0^{\circ} = 18 0^{\circ}

∠ BOE = 180 - 110 - 40

\Rightarrow ∠ BOE = 3 0^{\circ}

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Question Text	In the figure, lines $A B$ and $C D$ intersect at $O$ . If $∠ A OC + ∠ BOE = 70$ and $∠ BO D = 40$ , find $∠ BOE$ and reflex $∠ COE$ .
Answer Type	Text solution:1
Upvotes	150

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

Text solutionVerified

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In the figure, lines $A B$ and $C D$ intersect at $O$ . If $∠ A OC + ∠ BOE = 70$ and $∠ BO D = 40$ , find $∠ BOE$ and reflex $∠ COE$ .