Question

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

Answer 1

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Answer 2

Answer:

Let the angles be in the ratio 3x : 5x : 9x : 13x

Sum of all angles = 360°

=> 3x + 5x + 9x + 13x = 360

=> 8x + 22x = 360

=> 30x = 360

=> x = 360 / 30 = 12°

Hence the other angles are:

=> 3x = 3 × 12 = 36°

=> 5x = 5 × 12 = 60°

=> 9x = 9 × 12 = 108°

=> 13x = 13 × 12 = 156°

These are the required angles.