Question

The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measure of each angle

Answer 1

Explanation:

Since, the angles of the quadrilateral are in the ratio 1:2:3:4

Therefore, let their measures be x, 2x, 3x and 4x

By angle sum property of the interior angles of a quadrilateral.

`x + 2x + 3x + 4x = 360 \degree \\ \\ 10x = 360 \degree \\ \\ x = (360)/(10) \\ \\ x = 36 \\ \\ \implies \: \\ 2x = 2 * 36 = 72 \degree \\ \\ 3x = 3 * 26 = 78 \degree \\ \\ 4x = 4 * 36 = 144 \degree`