ABCD is cyclic quadrilateral then fing the angles of this quadrilateral.
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Step-by-step explanation:
In a cyclic quadrilateral, the sum of any two opposite angles is 180 degrees.
4y + 20 - 4x = 180
or y - x = 40 -> (1)
Similarly for the other set of angles,
3y - 5 +5 - 7x = 180
3y - 7x = 180
from (1) we can say that y = 40 + x
substituting we get : 3(40 + x) - 7x = 180
120 + 3x - 7x = 180
-4x = 60, x = -15
hence, y = 40 - 15 = 25
angle A = 4(25) + 20 = 120
angle B = 3 ( 25) - 5 = 70
angle C = -4(-15) = 60
angle D = 5 - 7(-15) = 110
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