Question

The angles of a cyclic quadrilateral taken in order are (3y – 5), (4y + 20),
(7x + 5) and 4x. Find the angles of the cyclic quadrilateral.
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Answer 1

Step-by-step explanation:

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Answer 2

Hello

Step-by-step explanation:

Step-by-step explanation:Concept:

Opposite angles of a cyclic quadrilateral

Opposite angles of a cyclic quadrilateralare supplementary.

Given:

∠A = 4y+20

∠B = 3y-5

∠C = - 4x

∠D = 7x+5

since Opposite angles of a cyclic quadrilateral are supplementary,

we have

∠A+∠C = 180°

4y+20-4x = 180

-4x+4y = 160

-x+y = 40.........(1)

and

∠B+∠D = 180°

3y-5+7x+5 = 180

7x+3y= 180.....(2)

-7x+7y= 280 (multiplying (1) by 7)

10y = 460

y= 46

(1)gives

-x+46=40

-x= -6

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