Q. 14.5( 483 Votes )

# The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.

Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x, and 13x respectively

As the sum of all interior angles of a quadrilateral is 3600,

3x + 5x + 9x + 13x = 3600

30x = 3600

x = 120

Hence, the angles are

3x = 3 × 12 = 360
5x = 5 × 12 = 600

9x = 9 × 12 = 1080
13x = 13 × 12 = 1560

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