anonymous
  • anonymous
A regular polygon has an interior angle measure of 162°. How many sides does this polygon have?
Geometry
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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Hero
  • Hero
To find how many sides the polygon has, perform the following steps:
Hero
  • Hero
Subtract 180 - 162 to find the measure of the exterior angle.
Hero
  • Hero
Then take 360 and divide it by the measure of the exterior angle.

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anonymous
  • anonymous
so 20?
Hero
  • Hero
Correct.
anonymous
  • anonymous
yay i can maths (it was on purpose)
Hero
  • Hero
And try not to get interior and exterior angles confused.
Hero
  • Hero
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.
anonymous
  • anonymous
oh okay thank you @hero

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