Find the value of x and y it ABCD is a cyclic quadrilateral
and angles in ordert are 6x+ 10,5x,x+y,3y-10
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Answer:
According to the problem,
6x + 10 + x + y = 180
or, 7x + y = 170
or, y = 170 - 7x
Again, 5x + 3y - 10 = 180
or, 5x + 3y = 190
or, 5x + 3(170-7x) = 190
or, 5x + 510 - 21x = 190
or, -16x = -320
or, x = 20
So, y = 170 - 7x = 170 - 140 = 30
So, measure of all angles are 130°, 100°, 50°, 80°
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