PQRS एक ऐसा चक्रीय चतुर्भुज है की `angleP, angle Q` और `angle R` क माप का अनुपात 1:3:4 है , तो `angle S` का माप क्या होगा ?

Options

A. `72^(@)`
B. `36^(@)`
C. `108^(@)`
D. `144^(@)`

Answer

A

Explanation

According to the question, PQRS is a cyclic quadrilateral As we know that the sum of opposite angles in cyclic quadrilateral is `180^(@)`

`angleP = 1x`
`angleQ = 3x`
`therefore` 5 units to `180^(@)`
1 unit `to180/5`
3 units `to180/5 xx 3=108^(@)`
`angleS+angleQ = 180^(@)`
`angleS=180^(@)-108^(@)=72^(@)`