Question

In the given fig abcd is cyclic quadrilateral. Find the value of x& each angle

Answer 1

it is a cyclic quadrilateral. hence sum of opposite angles is 180
y+20+50=180
y=180-70
y=110

now,
2x+y=180
2x+110=180
2x=70
x=35

hence the angles are 70,110,130

Answer 2

it is a cyclic quadrilateral. hence sum of opposite angles is 180
y+20+50=180
y=180-70
y=110

now,
2x+y=180
2x+110=180
2x=70
x=35

hence the angles are 70,110,130