Math, asked by harshvpatil03, 2 months ago

ABCD is cyclic quadrilateral then fing the angles of this quadrilateral.​

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Answers

Answered by NIyati2204
1

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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