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Question

If the angle of quadrilateral is 1:2:3:4. Find the angles of quadrilateral

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Solution

Given that the angles are in the ratio 1:2:3:4.

Let the angles of quadrilateral be

x, 2x, 3x , 4x

sum of all angles of quadrilateral = 360°

x + 2x + 3x + 4x = 360°

10x = 360°


x = 360/10 = 36°

Ans. the four angles are :-

x = 36°
2x = 2 × 36 = 72°
3x = 3 × 36 = 108°
4x = 4 × 36 = 144°

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