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ABCD is a cyclic quadrilateral (see figure). Find the angles of the cyclic quadrilateral.
Asked by Watson Last Modified
Answer 
Oppsite angles of cyclic quadrilateral are supplementary.
-7x+5+3y-5=180
-7x+3y=180 eq1
-4x+4y+20=180
-4x+4y=160 eq2
Divide by 4
-x+y=40
Multiply by 3
-3x+3y=120 eq3
-7x+3y=180 eq1
Subtracting eq1 from eq3
4x=-60
x=-15
C= -4x=-4*-15=60
A=180-60=120
D=-7x+5=-7*-15+5=105+5=110
B=180-110=70
Ans
A=120,B=70,C=60,D=110
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