The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8 .Find the angles.
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The four angles of a quadrilateral are in the ratio 2 : 3 : 5 : 8 .Find the angles.
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Answer:
Let the angles be 2x, 3x, 5x, 8x.
Sum of Angles of a quadrilateral = 360°
Therefore, 2x+3x+5x+8x=360°
18x=360°
x= (360/18) °
x= 20°
Therefore, 2x = 2*20=40°
3x= 3*20=60°
5x= 5*20=100°
8x= 8*20=160°
Therefore, the four angles are= 40°, 60°, 100°, 160°.
Explanation:
Explanation is in the answer itself.
Answer:
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Explanation:
Let the angles be 2x, 3x, 5x, 8x
sum of angles of quadrilateral = 360°
so, 2x + 3x + 5x + 8x =360°
18x = 360°
x = 360°/18
x = 20°
therefore ,
2x = 20° × 2 = 40°
3x = 60°
5x = 100°
8x = 160°
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