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The measure of an interior angle of a regular polygon is 140°. The number of sides and diagonals in this polygon are:
  • a)
    8,20
  • b)
    7,17
  • c)
    7,14
  • d)
    9,27
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The measure of an interior angle of a regular polygon is 140°. Th...
The corresponding exterior angle must be 180-140 = 40 degrees 

The sum of ALL the exterior angles is ALWAYS 360.
exterior angles = 360/40 = 9
Therefore, number of sides = 9
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The measure of an interior angle of a regular polygon is 140°. The number of sides and diagonals in this polygon are:a)8,20b)7,17c)7,14d)9,27Correct answer is option 'D'. Can you explain this answer?
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