Question

Given :- O is the center of circle.
Angle BCO =
${m}^{0}$
Angle BAC =
${n}^{0}$
Find the value of m+n
​

Answer 1

•Given→

angle BCO = m°

angle BAC = n°

• To find→

value of m+n

• Solution→

angle BCO = angle CBO [ OB = OC]

angle CBO = m

∆BOC is a triangle.

angle BOC = 180° -( m+m)

= 180° -2m

We know that,

angle BOC = 2 angle BAC

→180°-2m = 2n

→-2m-2n = -180°

→ -2(m+n) = -180°

→ m+n = -180°/-2

→ m+n = 90°

• Answer→

Value of (m+n) is 90°