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If the sum of the measures of the interior angles of a regular polygon is 1980. Find the number of sides in the polygon?

Answer 1

Savannah Aguilar

#13#

for a regular polygon, with #n# number of sides, the sum of interior angles is given by;

#S=(n-2)xx180#

we have

#1980=(n-2)xx180#

#=>n-2=1980/180#

#:.n-2=11#

#n=13#

no of sides is #13#

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Answer 2

Jayden Jackson

To find the number of sides in the regular polygon, we can use the formula for the sum of interior angles of a polygon, which is given by:

Sum of interior angles = (n - 2) * 180 degrees

Where 'n' represents the number of sides in the polygon.

Given that the sum of the measures of the interior angles of the regular polygon is 1980 degrees, we can set up the equation:

1980 = (n - 2) * 180

To solve for 'n', we divide both sides of the equation by 180:

1980 / 180 = (n - 2)

This simplifies to:

11 = n - 2

Adding 2 to both sides of the equation:

11 + 2 = n

So, the number of sides in the regular polygon is 13.

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