The four angles of a quadrilateral are in the ratio 2:3:5:8. Find the difference between the largest and the smallest angle.
a.600
b.1200
c.1600
d.1800
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let the angles of quadrilateral are: 2x+3x+5x+8x
we know that sum of angles of quadrilateral is 360•
2x+3x+5x+8x = 360•
18x = 360•
x.= 360/18
x = 20•
now angles of quadrilateral
2x = 2×20=40•
8x = 8×20=160•
difference
160 - 40= 120
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