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Question
In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.
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Solution
It is given that
Two circles having center O and O' and ∠AOB = 130°
And AC is diameter of circle having center O
We have
`angle ACB =1/2 angleAOB = 65°`
So
`angleDCB = 180° - angleACB`
= 180° - 65°
= 115°
Now, reflex `angleBO'D = 2 angleBCD`
So
`360° - x° = 2 xx 115 `
= 230°
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