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In a cyclic quadrilateral ABCD, if m ∠A = 3 (m ∠C). Find m ∠A. - Mathematics

Short Note

In a cyclic quadrilateral ABCD, if A = 3 (m ∠C). Find m ∠A.

 
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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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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 15 Circles
Exercise 15.5 | Q 10 | Page 101
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