Learn to find the sum of interior angles given one exterior angle for a polygon ex 1

The video tutorial explains two methods to solve for the exterior angles of a polygon. The first method involves calculating the interior angles using a formula and solving for the number of sides. The second, simpler method uses the fact that the sum of exterior angles is always 360 degrees. By dividing 360 by the measure of one exterior angle, the number of sides is determined. Both methods are valid, but the second is quicker. The tutorial concludes with the calculation of the sum of interior angles for a regular polygon.

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

• They are complementary.

• They form a linear pair.

• They are supplementary.

• They are equal.

If the exterior angle of a regular polygon is 60 degrees, what is the measure of its interior angle?

• 60 degrees

• 150 degrees

• 90 degrees

• 120 degrees

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

• Divide 360 by the exterior angle.

• Add the exterior angle to 180.

• Multiply the exterior angle by 360.

• Subtract the exterior angle from 180.

What is the sum of all exterior angles in any polygon?

• 540 degrees

• 360 degrees

• 180 degrees

• 720 degrees

For a regular polygon with an exterior angle of 60 degrees, what is the sum of its interior angles?

• 900 degrees

• 720 degrees

• 540 degrees

• 360 degrees