Question

In given figure O and O' are centre of two circle intersects each other at B and C . If AOCD is a straight line and angle AOD is 110 degree then find angle BED and angle BOD
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Answer 1

Answer:

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In the given figure, Oand O

′

are centres of two circles intersecting at BandC. ACD is a straight line. Find x.

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Solution

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Correct option is A)

∠AOB=130

o

...(Given)

∠AOB=2∠ACB

⇒∠ACB=65

o

....(1).

SinceACDisastraightline,

∠ACB+∠DCB=180

o

∠DCB=180

o

−∠ACB

=180

o

−65

o

...[From(1)]

=115

o

.

Inbiggercircle,

marc(BD)=2∠BCD=2×115

o

=230

o

Now,marc(BD)+marc(DB)=360

o

⇒230

o

+x=360

o

⇒x=130

o

.

Hence,optionAiscorrect.