Question

the angle of a quadrilateral are in the ratio 2:3:4:6 find the measure of each of the four angles​

Answer 1

$<I>$☞ Heya Mate ☜

★ ALL FOUR ANGLES OF QUADRILATERAL MEASURE UPTO 360°

→ 2x + 3x + 4x + 6x = 360°

→ 15x = 360°

→ x = 360/15

→ x = 24

→ 2x = 48

→ 3x = 72

→ 4x = 96

→ 6x = 144

THE ANGLES OF QUADRILATERAL ARE 48° , 72° , 96° , 144°

❣️HOPE IT HELPS UH ❣️

Answer 2

The ratio of angles of quadrilateral is as follows :-

$\boxed{\bold{2:3:4:6}}$

$\rule{200}{2}$

We know that the $\red{Angle\:Sum\:Property\:of\:Quadrilateral}$ :-

The sum of all four angles of a Quadrilateral is equal to 360 degrees.

$\rule{200}{2}$

Let the Angles of the Quadrilateral be 2x,3x,4x and 6x

So,

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

$\rule{200}{2}$

Hence angles of the quadrilateral are as follows :-

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

$\rule{200}{2}$