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Question
In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A.
Solution
It is given that
ABCD is cyclic quadrilateral and ` m angle A = 3 (m angle C ) `
We have to find `m angle A `
Since ABCD is cyclic quadrilateral and sum of opposite pair of cyclic quadrilateral is 180°.
So ` angle A + angle C = 180°`
And
`3angleC + angleC = 180°`
`4angleC = 180°`
`angleC = (180°)/4`
= 45°
Therefore
`angleA = 3 xx 45° `
= 135°
Hence `angle A = 135°`
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