The angles of a quadrilateral are in the ratio 1 : 3 : 5 : 6. Find the measure of smallest angle.
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Answer:
Let the common angle be x
Sum of the angle of a quadrilateral = 360°
Therefore
1x +3x +5x +6x =360°
15x = 360°
x = 360/15
x = 24°
Here smallest angle = 1x
Therefore smallest angle
= 1×24
= 24°
Answered by
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x + 3x + 5x + 6x = 360 degree
15x = 360 degree
x = 24
therefore
x = 24
3x = 24 x 3 = 72
5x = 24 x 5 = 120
6x = 24 x 6 = 144
measure of smallest angle is 24 degree
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