Find the interior angle on a regular polygon with 40 sides...

please explain

Given that the regular polygon with 40 sides.

We need to determine the interior angle of the polygon.

Sum of the interior angle:

Sum of the interior angle can be determined using the formula,

where n is the number of side.

Substituting in the above formula, we get;

Simplifying the values, we get;

Thus, the sum of the interior angles is 6840°

Measure of each interior angle:

The measure of each interior angle can be determined using the formula,

where n is the number of side.

Substituting in the above formula, we get;

Simplifying the values, we get;

Dividing, we get,

Thus, the measure of each interior angle is 171°

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step-by-step explanation: