Question

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

Answer 1

Answer:

Given,

Rhe measures of the angles of a quadrilateral are in the ratio= 2:4: :5:7

Thus, Let the first angle be 2x.

" " 2nd angle by 4x.

" " 3rd angle by 5x.

" " 4th angle by 7x.

We know that sum of the angles of a quadrilateral is 360°.

Therefore,

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

18x= 360

x=360/18

x= 20

Therefore, the measures of each of the angles of the quadrilateral is-

2x= 40°

4x= 80°

5x= 100°

7x= 140°

Answer 2

Step by step guide:-

The angles be 2x 5x 4x and 7x respectively.

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

Since sum of all the angles of a quadilateral is 360°

6x+12x=360°

x=360/18

x=20°

therefore

2x=40°

4x=80°

5x=100°

7x=140°

Hope it helps

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