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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).



Answer -

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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