Q. 14.5( 483 Votes )

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

Answer :

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 360^{0},

3x + 5x + 9x + 13x = 360^{0}

30x = 360^{0}

x = 12^{0}

Hence, the angles are

**3x = 3 × 12 = 36 ^{0} 5x = 5 × 12 = 60^{0}**

**9x = 9 × 12 = 108 ^{0} 13x = 13 × 12 = 156^{0}**

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