The angles of a 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 in ratio are" 3x:5x:9x:13x`
`"Sum of angles of a Quadrilateral="" 360^0`
`therefore 3x+5x+9x+13x=360^0`
`30x= 360^0`
`x= 360^0-30`
`x= 12^0`
`"the angles will be:"`
`=>3x=3xx12=36^0`
`=>5x=5xx12=60^0`
`=>9x=9xx12=108^0`
`=>13x=13xx12=156^0`

Explanation

`/_A=3x`

`/_B=5x`

`/_C=9x`

`/_D=13x`

`/_A+/_B+/_C+/_D=360^@`

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

`30x=360`

`x=12^@`

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