Question

3. In the given figure, lines Ab, CD and EF
intersect at o
Find the measure of ZAOC, ZCOF.
С
F
A 40°
35° B
E
D​

Answer 1

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9th

Maths

Lines and Angles

Transversals to Parallel Lines

In the figure, lines AB and...

MATHS

In the figure, lines AB and CD intersect at O. If ∠AOC+∠BOE=70

and ∠BOD=40

, find ∠BOE and reflex ∠COE.

question

October 15, 2019avatar

Mangukiya Sagar

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VIDEO EXPLANATION

ANSWER

In given figure AB is a straight line and OC and OE meets at point O in AB.

∠AOC+∠BOE+∠COE=180

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As given ∠AOC+∠BOE=70

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∴70+∠COE=180

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⇒∠COE=180−70=110

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Reflex ∠COE=360

∘

−110

∘

=250

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∵ CD is a straight line and OE and OB stand on it

∠COE+∠BOE+∠BOD=180

∘

110

∘

+∠BOE+40

∘

=180

∘

∠BOE=180−110−40

⇒∠BOE=30

∘