Question

Given: O is 5he centre of circle. angle BCO = m°, angle BAC = n°. find: The value of m + n. ​

Answer 1

value of m + n. = 90°

Step-by-step explanation:

O is the centre of circle.

=> ∠BOC = 2∠BAC  ( Angle subtended by chord at  center & arc)

=> ∠BOC = 2n

BO = CO  ( Radius)

=> ∠CBO = ∠BCO

=> ∠CBO  = m

in Δ BOC

∠BOC + ∠CBO + ∠BCO = 180°

=> 2n + m + m = 180°

=> 2n + 2m = 180°

=> 2(n + m) = 180°

=> n + m = 90°

=> m + n = 90°

value of m + n. = 90°

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