Question

find the value of m for the given figure where C is the centre of the circle. ​

Answer 1

GIVEN:-

• ∠C=3m°
• ∠A=m°

NEED TO FIND:-

• value of m

SOLUTION:-

We know that,

AB and AD are tangents to the circle.

That implies,

• ∠B=90°
• ∠D=90°

We also know that,

ABCD is a Quadrilateral.

BY ANGLE SUM PROPERTY:

∠A+∠B+∠C+∠D=360°

m°+90°+3m°+90°=360°

4m°+180°=360°

4m°=360°-180°

4m°=180°

$\bold{\boxed{m°=45°}}$

HOPE THAT HELPS!!