Question

the angles of quadrilaterals are in ratio 2:3:5:8.Find the measure of the angles of the quadrilateral​

Answer 1

Step-by-step explanation:

sum of all angles 360

let angle be x

then angles are 2x 3x 5x 8x

sum of angles is 360 so

2x+3x+5x+8x = 360

18x=360

so x=20

hence 1 angles 2x is 40

2 angle 60

3 angle 100

4 angle 160

so this question is solved any problem

Answer 2

The angles of quadrilaterals are in ratio 2:3:5:8. Find the measures of the angles of the quadrilateral​.

Given, the angles of a quadrilateral are in the ratio 2:3:5:8.

Let the angles be $2x$, $3x$, $5$ and $8x$.

We know that the sum of angles of a quadrilateral is 360°.

So, $2x+3x+5x+8x=360$

$18x=360$

$x=\frac{360}{18}$

$x=20$

So, all the angles are:

$2x=2\times20$

$2x=40$

$3x=3\times20$

$3x=60$

$5x=5\times20$

$5x=100$

$8x=8\times20$

$8x=160$

So, the angles of the quadrilateral are 40°, 60°, 100° and 160°.