Question

If the angles of a quadrilateral are in tha ratio of 3:5:9:13 then find all the angles of the quadrilateral

Answer 1

•Let angles of quadrilateral be 3x, 5x, 9x, 13x.
3x+5x+9x+13x=360.
30x=360.
x=360/30
x=120/10
x=60/5
x=12.

3x=3*12=36.
5x=5*12=60.
9x=9*12=108.
13x=13*12=156.

Answer 2

Let us assume that there is angle x

we know the sum of angles of a quadrilateral is 360

3x + 5x + 9x + 13x = 360 .... [ 1 ]

=> 8x + 22x = 360

=> 30 x = 360

=>x = 12

From equation [ 1 ]

First angle = 3x = 3 × 12 = 36°

second angle = 5x = 5 × 12 = 60°

Third angle = 9x = 9 x 12 =108°

Fourth angle = 13x= 13 × 12 = 156°

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