Question

The angles of a quadrilateral are in the ratio 3:5:9:13 find the greatest angle of the quadrilateral
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Answer 1

Answer:

let the sides be 3x 5x 9x 13x total 30

a quadrilateral has total sum of interior angle is 360 then x = 360/30 =12

largest side =12*13 = 13x

156°

Answer 2

Answer:

let the angles be 3x, 5x, 9x and 13x respectively

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

30x=360

x=360/30=12

so the angles are 3x =36,5x=60,9x=72 and 13x=156

hence greatest angl=156