Question

Given: O is the centre of the circle. Angle BCO = m ° , angle BAC = n°. Find : the value of m+n

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The value of m+n is 90°

Step-by-step explanation:

Given : O is the center of the circle

we have to find the value of m+n

now,

$\angle BOC = 2 \angle BAC$ (angle subtended by the chord at the center and the arc )

therefore

$\angle BOC = 2n$

in triangle BOC

BO = OC (raddii )

$\angle CBO = \angle OCB$ = m (angle opposite to equal sides are equal )

now ,

$\angle BOC+ \angle CBO + \angle BCO = 180 ^\circ\\\\2n +m+m = 180\\\\2n +2m = 180\\\\2(m+n) = 180\\\\m+n = \frac{180}{2}\\\\m+n = 90^\circ$

hence , The value of m+n is 90°

#Learn more:

If o is the centre of the circle angle BCO is 30 find angle x and  y

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