Math, asked by Nabhay1, 1 year ago

In fig O is the centre of the circle . find angle ADB

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Answers

Answered by KarupsK
13
We know that

The angle subtended by an arc at the centre of the circle is twice the angle subtended the same arc at any point on the remaining part of the circle.

hence Angle ACB = 40

From the given figure

ADBC is a cyclic quadrilateral

Opposite angles of a cyclic quadrilateral are supplementary.

Hence

Angle ACB + Angle ADB = 180 degrees

=> Angle ADB = 180 - 40 = 140 degrees

I hope this answer helps you
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Answered by Anonymous
6

The angle subtended by an arc at the centre of the circle is twice the angle subtended the same arc at any point on the remaining part of the circle.

hence Angle ACB = 40

From the given figure

ADBC is a cyclic quadrilateral

Opposite angles of a cyclic quadrilateral are supplementary

Hence

Angle ACB + Angle ADB = 180 degrees

=> Angle ADB = 180 - 40 = 140 degrees

I hope this answer helps you

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