Question

The measure of the angles of a quadrilateral are in the ratio 2:4:5:7:.find The measure of each of its angle
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Answer 1

Answer:

2:4:5:7

Let x be the common multiple.

2x+4x+5x+7x=360

Sum of angles in a quadrilateral is 360

0

18x=360

x=20

∴ 2x=2×20=40,4x=4×20=80,5x=5×20=100,7x=7×20=140

40,80,100,140 are angles of quadrilateral.

Step-by-step explanation:

Hope it helps

Answer 2

Step-by-step explanation:

sum of all angles of quadrilateral = 360

let the angles be 2x, 4x, 5x, 7x

A. T. Q.

2x + 4x + 5x + 7x = 360

18x = 360

x = 360/18

x = 20

angle 1 = 2x = 2×20 =40

angle 2 = 4x = 4×20 = 80

angle 3 = 5x = 5×20 = 100

angle 4 = 7x = 7×20 = 140

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