Question

The angles of parallelogram are in the ratio of 5 : 9 : 4 : 16 . Find all the angles of the quadrilateral.

Answer 1

Question: The angles of a quadrilateral are in the ratio of 5: 9: 4: 16. Find all the angles of the quadrilateral.

Answer: Let the angles of the quadrilateral be 5x, 9x, 4x and 16x respectively.

By Angle Sum Property of Quadrilateral,

5x+9x+4x+16x=360°

34x                  =360°

x                       =$\frac{360}{34}$

x                       =10.58

Therefore, the angles of quadrilateral are 5(10.58)=52.9°, 9(10.58)=95.22°

4(10.58)=42.32° and 16(10.58)=169.28°.

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