Question

The angles of quadiratral are given in ratio 1:2:3:4 find the smallest and the largest angle​

Answer 1

The angles of quadiratral are in ratio 1:2:3:4

So, let the angles = 1x, 2x, 3x, 4x

Sum of the angles of a quadiratral = 360

1x + 2x + 3x + 4x = 360

10x = 360

x = 360/10

x = 36

Smallest angle = x = 36

Largest angle = 4x = 144

Hope this will help....

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Answer 2

Sum of the angles in a quadrilateral is 360°.

$x + 2x + 3x + 4x = 360 \\ 10x = 360 \\ x = 36$

Therefore,

$x = 36 ,\: 2x = 72 \: ,3x = 108 \: ,4x = 144$

The largest angle is 144°.

Smallest angle is 36°.

Hope this will be helpful.