The angle of quadrilateral are in the ratio 3 : 5 : 9 : 13 .Find all the angles of the quadrilateral.
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Answer:
36 degree, 60 degree, 108 degree and 156 degree
Step-by-step explanation:
Let there is x in the ratio of the angles.
First angle of quadrilateral = 3x
Second angle = 5x
Third angle = 9x
Fourth angle = 13x
We know that, the sum of all four angles of a quadrilateral is always equal to 360 degree.
A/Q,
3x + 5x + 9x + 13x = 360
=> 30x = 360
=> x = 360/30
x = 12 degree
First angle = 3x = 3*12 = 36 degree
Second angle = 5x = 5*12 = 60 degree
Third angle = 9x = 9*12 = 108 degree
Fourth angle = 13x = 13*12 = 156 degree
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