Question

the angles of a quadrillter are in the 2:3:5:8 find the measure of the angle​

Answer 1

Step-by-step explanation:

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,5x and 8x.

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

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

18x=360

x=360/18

x=20

So,all angles are:

2x=2*20

2x=40

3x=2*30

3x=60

5x=5*20

5x=100

8x=8*20

8x=160

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

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