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3 years ago

If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have?

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

7 0

Answer:

<u>The regular polygon has 13 sides</u>

Correct statement and question:

If the sum of the measures of the interior angles of a polygon is 1980°, how many sides does it have?

Source:

1,920° is not a valid value for a regular polygon. It should be either 1,980° or 1,800° (it has to be a multiple of 180). We pick 1,980° to answer the question.

Step-by-step explanation:

Let's recall that the formula of the sum of the interior angles of any polygon is:

Sum of Interior Angles = (n-2) * 180°, where n is the number of sides of the polygon.

Therefore, replacing with the value we know:

1,980 = (n-2) * 180

n - 2 = 1,980/180

n - 2 = 11

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3 years ago

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Answer:

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3 years ago

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3 years ago

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3 years ago

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kvasek [131]

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2 years ago

Read 2 more answers