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anonymous

  • one year ago

A regular polygon has an interior angle measure of 162°. How many sides does this polygon have?

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  1. Hero
    • one year ago
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    To find how many sides the polygon has, perform the following steps:

  2. Hero
    • one year ago
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    Subtract 180 - 162 to find the measure of the exterior angle.

  3. Hero
    • one year ago
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    Then take 360 and divide it by the measure of the exterior angle.

  4. anonymous
    • one year ago
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    so 20?

  5. Hero
    • one year ago
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    Correct.

  6. anonymous
    • one year ago
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    yay i can maths (it was on purpose)

  7. Hero
    • one year ago
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    And try not to get interior and exterior angles confused.

  8. Hero
    • one year ago
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    There's only two formulas you need to solve problems like this: If you have a regular polygon, then let i be measure of interior angle, let e be measure of interior angle and n be number of sides of the polygon. Then i + e = 180 360/e = n In other words, if you're given the measure of the interior angle, then you can find the number of sides of a polygon using the two formulas above. Use the first formula to find the measure of the exterior angle and the second formula to find the number of sides of the regular polygon.

  9. anonymous
    • one year ago
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    oh okay thank you @hero

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