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Angle Subtended by Diameter on the Circle

On a semi-cir...

Question

On a semi-circle with AB as diameter, a point C is taken, so that m (∠CAB) = 30°. Find m (∠ACB) and m (∠ABC).

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Solution

It is given that, as diameter, is centre and

We have to find and

Since angle in a semi-circle is a right angle therefore

In we have

(Given)

(Angle in semi-circle is right angle)

Now in we have

Hence and

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