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How many sides does a polygon have if the sum of the interior angles is 1980 degrees?

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The sum of the interior angles of a polygon is equal to 180 degrees multiplied by the number of sides minus 2. This can be written as the formula:

Sum of Interior Angles = (n - 2) * 180 degrees

where n is the number of sides of the polygon.

If the sum of the interior angles of a polygon is 1980 degrees, we can solve for the number of sides by setting up the equation:

1980 degrees = (n - 2) * 180 degrees

Then, we can solve for n by dividing both sides of the equation by 180 degrees:

1980 degrees / 180 degrees = (n - 2) * 180 degrees / 180 degrees

This simplifies to:

11 = n - 2

Then, we can solve for n by adding 2 to both sides of the equation:

11 + 2 = n

This gives us:

n = 13

Therefore, the polygon has 13 sides.
User Takesha
by
8.6k points
6 votes

Answer: It has 13 sides

Explanation:

User Robertohuertasm
by
8.9k points

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