Mathematics
Grade9
Easy

Question

What is the measure of regular polygon with 64 sides?

  1. 180°
  2. 174.375°
  3. 160°
  4. 175°

hintHint:

V a l u e space o f space i n t e r i o r space a n g l e space i n space p o l y g o n space equals space fraction numerator left parenthesis n minus 2 right parenthesis cross times space 180 to the power of o over denominator n end fraction

The correct answer is: 174.375°


    option 2 : 174.375° is the correct answer
    A polygon with 64 sides has 64 angles.
    The sum of all interior angles of a hexagon is 180° × (64 - 2)
    = 180° × 62
    = 11160°
    Measure of each angle = fraction numerator 11160 degree over denominator 64 end fraction
    = 174.375°.

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