Question

In the given figure, ABCD is a cyclic quadrilateral. Find the values of x
and y.

Answer 1

$\huge\bold{Answer}$

A+∠C=180

∘

(Sum of opposite angels of cyclic quadrilateral = 180

∘

)

2x+14+4x+4=180

∘

6x+18=180

∘

6x=162

x=27

∠B+∠D=180

∘

(Sum of opposite angles of cyclic quadrilateral =180

∘

)

5y+5+50=180

5y=180−55

5y=125

y=25

Answer 2

∠A+∠C=180∘ (Sum of opposite angels of cyclic quadrilateral = 180∘)

2x+14+4x+4=180∘

6x+18=180∘

6x=162

x=27

∠B+∠D=180∘ (Sum of opposite angles of cyclic quadrilateral =180∘)

5y+5+50=180

5y=180−55

5y=125

y=25