the angles of a quadrilateral are in ratio 3:5=9:14 find all the angels
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Let the angles of quadrilateral be 3x , 5x , 9x , 14x
as we know that
sum of measures of all angles of quadrilateral is 360
so
3x + 5x + 9x + 14x = 360
31x = 360
x = 360 /31
so 3x = 3 × 360 /31
= 1080/31
5x = 5 × 360 / 31
= 1800/31
9x = 9 × 360/31
= 3240/31
as we know that
sum of measures of all angles of quadrilateral is 360
so
3x + 5x + 9x + 14x = 360
31x = 360
x = 360 /31
so 3x = 3 × 360 /31
= 1080/31
5x = 5 × 360 / 31
= 1800/31
9x = 9 × 360/31
= 3240/31
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