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  • 18-07-2020
  • Mathematics
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A regular convex polygon has 16 sides. What is the measure of an interior angle? A. 127.5° B. 140° C. 140.5° D. 157.5°

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rococo908
rococo908 rococo908
  • 18-07-2020

Answer:

D. 157.5°

Step-by-step explanation:

We can find the sum of the interior angles with this formula:

s = (n - 2)(180)

Plug in the number of sides and calculate:

s = (16 - 2)(180)

s = (14)(180)

s = 2,520

Now, divide by 16 to get the measure of one interior angle:

2520/16 = 157.5

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