Determine the sum of interior angles when given one exterior angle ex 3

The video tutorial explains how to find the sum of the interior angles of a polygon when given one exterior angle. It covers the relationship between exterior and interior angles, the calculation of one interior angle, solving for the number of sides of the polygon, and finally, determining the sum of all interior angles. The process involves using the properties of supplementary angles and algebraic equations to find the desired values.

What is the relationship between an interior angle and an exterior angle of a polygon?

• They are equal.

• They are complementary.

• They are supplementary.

• They are unrelated.

If an exterior angle of a polygon is 27.70 degrees, what is the measure of the corresponding interior angle?

• 180 degrees

• 90 degrees

• 152.30 degrees

• 27.70 degrees

How do you calculate the number of sides of a polygon if you know the measure of one interior angle?

• Use the formula: (n-2) * 180 / n = interior angle.

• Multiply the interior angle by the number of sides.

• Subtract the interior angle from 180 and divide by the exterior angle.

• Divide 360 by the interior angle.

What is the sum of the interior angles of a polygon with 13 sides?

• 1980 degrees

• 1800 degrees

• 2160 degrees

• 2340 degrees

Which formula is used to find the sum of the interior angles of a polygon?

• n * 360

• (n+2) * 180

• (n-2) * 180

• n * 180