Question

The angle of a quadrilateral are in the ratio of 1:2:3:4 . what is the measure of the four angles ?​

Answer 1

Answer:

So, now the angles that are in ratio of 1: 2: 3: 4, can be written as x, 2x, 3x and 4x in degrees. Here the angles are in clockwise order. The figure can be as follows: Now, it is very well known that the sum of all the interior angles of the quadrilateral is 360 degrees.

Answer 2

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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