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4:5:6 is the ratio.
Then total ratio = 4+5+6 = 15
Greatest angle will be of part = 6
Then angle measures= 6/15×360° ( 360° because complete angle measures 360°)
= 6×24
= 144° is the answer.
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oa+ob+oc=4:5:6=360°
take 4:5:6 as 4x+5x+6x
4x+5x+6x= 360°
15x=360°
x=360/15= 24°
oa = 4x = 24*4 =96°
ob = 5x = 24*5 = 120°
oc = 6x = 24*6 = 144°
OC is the greatest angle
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