CIRCLES 3

If O is the centre of the circle, find the value of n. (diagram not to scale)

Solution

<ABC = 90⁰. [Angle inscribed in a semi-circle=90⁰]

In ∆ABC;

<ABC + n + n-2 = 180⁰ [total degrees in a ∆ ]

90⁰+n+ n-2 = 180⁰

90⁰+ 2n - 2 = 180⁰

88⁰+ 2n = 180⁰       [because 90-2 =88]

2n = 180⁰ - 88⁰

2n = 92⁰

¹2n = ⁴⁶92⁰

₁2         2₁

n = 46⁰

Hence  n = 46^{0 .}

TRY THIS…………..

If O is the centre of the circle, find the value of n. (diagram not to scale)