Question

AB
CD is a cyclic quadrilateral find the angles of a cyclic quadrilateral

Answer 1

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°

Answer 2

Answer:

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