Interior and Exterior Angles of Polygons

The video tutorial covers the topic of interior and exterior angles in regular polygons. It introduces a simplified method for calculating these angles, emphasizing the use of 360 degrees divided by the number of sides to find exterior angles, and subtracting this from 180 degrees to find interior angles. The tutorial includes example problems involving a nonagon and an octagon, demonstrating the application of these methods in GRE and GMAT level questions.

Why is it important to understand the interior and exterior angles of regular polygons?

• They are frequently tested in exams like GRE and GMAT.

• They are only useful for advanced mathematics.

• They are only applicable to irregular polygons.

• They are not relevant to any standardized tests.

What is an exterior angle in a regular polygon?

• An angle that varies with each side.

• An angle that is always 90 degrees.

• An angle formed by extending a side of the polygon.

• An angle inside the polygon.

How are all the interior angles in a regular polygon related?

• They are all obtuse angles.

• They are all different.

• They are all right angles.

• They are all equal.

What does the traditional formula for the sum of interior angles involve?

• Multiplying 180 by the number of sides.

• Dividing 360 by the number of sides.

• Multiplying 180 by (n-2), where n is the number of sides.

• Adding 360 to the number of sides.

What is the first step in the new method for finding the exterior angle of a regular polygon?

• Subtract 180 from the number of sides.

• Add 360 to the number of sides.

• Divide 360 by the number of sides.

• Multiply 180 by the number of sides.

How can you find the interior angle once you have the exterior angle using the new method?

• Divide the exterior angle by 2.

• Multiply the exterior angle by 2.

• Subtract the exterior angle from 180.

• Add 180 to the exterior angle.

What is the exterior angle of a nonagon using the new method?

• 40 degrees

• 30 degrees

• 45 degrees

• 50 degrees

What is the interior angle of a nonagon using the new method?

• 140 degrees

• 130 degrees

• 140 degrees

• 120 degrees

In the octagon problem, what is the exterior angle calculated using the new method?

• 30 degrees

• 45 degrees

• 40 degrees

• 50 degrees

What is the interior angle of the octagon using the new method?

• 120 degrees

• 130 degrees

• 135 degrees

• 140 degrees