1.

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

Answer» Let ABCD be the given quarillateral and let
`angle A =(3x)^(@), angle B =(5x)^(@), angle C =(9x)^(@) and angle D = (13x)^(@).`
Since the sum of the angles of a quadrilateral is `360^(@)`, we have
`3x+5x+9x+13x=360 rArr 30x=360 rArr x = 12.`
`therefore angle A = 36^(@), angle B=60^(@), angle C= 108^(@) and angle D= 156^(@).`


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