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