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Q.

 The ratio of measure of an exterior angle of regular 7 : 2 nonagon to the measure of one of its interior angles is.


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a

  2 : 7

b

  9 : 12

c

  5 : 9

d

  16 : 2  

answer is A.

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Detailed Solution

Let 7 a be interior angle and 2a be exterior angle.
⇒ Question ImageQuestion Image⇒ Question Image       Question Image     Question ImageFor a polygon of n sides exterior angle has Question Image⇒ Question Image sides (after taking angle as 140°)
  
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 The ratio of measure of an exterior angle of regular 7 : 2 nonagon to the measure of one of its interior angles is.