Question

the angle of quadrilateral are in the ratio 4:8:10:14 find all the angles of the quadrilateral
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Answer 1

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Let the angles of quadrilateral be 4x , 8x , 10x , 14x

The sum of all angles of quadrilateral is 360°

4x + 8x + 10x + 14x = 360°

36x = 360°

x = 360 ÷ 36

x = 10°

Hence, the four angles of quadrilateral are

4x = 4×10 = 40°

8x = 8× 10 = 80°

10x = 10×10 = 100°

14x = 14×10 = 140°

Hence Verified ✔️

Answer 2

solution :-

Let the angle of quadrilateral be 4x , 8x , 10x , 14x .

The angle of all angles of quadrilateral = 360° .

4x + 8x + 10x + 14 x = 360°

36x = 360°

x = 360 / 36

x = 10 .

The four angles of quadrilateral are :-

4x = 4 x 10 = 40 °

8x = 8 x 10 = 80°

10x = 10 x 10 = 100 °

14x = 14 x 10 = 140°

Answers