Math, asked by sofia2130, 6 months ago

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The four angles of a quadrilateral are in the ratio 2:3:5:8. The respective measure of the four angles are...
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Answered by ss3566021
6

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

= 360 18

x = 20

So, all the angles are:

2x = 2 x 20

2x = 40

3x = 3 x 20

3x = 60

5x = 5 x 20

5x = 100

8x = 8 x 20

8x = 160

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

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Answered by Anonymous
1

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