Question

Abcd is a cyclic quadrilateral. Find the angles of the cyclic quadrilateral

Answer 1

each angle is 90 degree

Answer 2

In a cyclic quadrilateral, opposite angles are supplementary

thus angle A+angleC=180°

=>4y+20-4x=180

=>4y-4x=160

=>y-x=40-----1

and similarly

angle B+angleD=180

=>3y-5-7x+5=180

=>3y-7x=180------2

*see the solve in the pic *

we get x=-15 and y=25

now put values of X and y

angle A=4y+20=4*25+20=120°

angle B=3y-5=3*25-5=75-5=70°

angle C=-4x=-4(-15)=60°

angle D=-7x+5=-7(-15)+5=105+5=110°