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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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