Question

The angle of a quadrilateral are in ratio 4:3:2:6 Find the measure of each angle?​

Answer 1

Answer:

let the angles of the quadrilateral be 4x , 3x, 2x and 6x

according to angle sum property of a quadrilateral,

$4x + 3x + 2x + 6x = 360 \\ 15x = 360 \\ x = \frac{360}{15} \\ x = 24$

hence the angles of the quadrilateral are:-

$4x = 4 \times 24 = 96 \\ 3x = 3 \times 24 = 72 \\ 2x = 24 \times 2 = 48 \\ 6x = 6 \times 24 = 144$