the sum of five interior angle of decagon 432 if the remaining angle are in ratio 2 :3:4:6:9 . find the measure of the remaining angle
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Answer:
84, 126, 168, 252 and 378
Step-by-step explanation:
Sum of the interior angles of a polygon = (2n-4)*90
Sum = (20-4)*90= 1440
Sum of remaining 5 angles = 1440-432 = 1008
Ratio of Remaining angles = 2:3:4:6:9
Sum of ratios = 2+3+4+6+9 = 24
Therefore the remaining angles are
2*1008/24, 3*1008/24, 4*1008/24, 6*1008/24, 9*1008/24
= 84, 126, 168, 252 and 378
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