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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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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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