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Step-by-step explanation:
ABCD us a cylic quadilateral because all its vertex are on circumference of circle
given,
A=x+10
B=2x+4
C=4y-4
D=5y+5
we know that in cylic quad sum of opposite
angle is equal to 180°
so,
A+D=180
x+10+5y+5=180
x+5y= 165
again
B+C= 180
2x+4+4y-4=180
2x+4y= 180
x+2y= 90
on subtracting both eq we get
(x+5y)-(x+2y)=165-90
3y= 75
y= 25
x+2y=90
x+50=90
x= 40
hence value of x and y be 40 and 25 respectively
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