Understanding Exterior Angles of Polygons

This video tutorial explains the concept of exterior angles in polygons, their relationship with interior angles, and how to calculate them. It covers the sum of exterior angles, which always equals 360°, and demonstrates how to determine the number of sides in a regular polygon using exterior angles. The video also provides examples and exercises for better understanding.

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

• They are equal.

• They form a straight line.

• They are supplementary.

• They are complementary.

How do you calculate the exterior angle of a regular nonagon?

• Divide 360° by 9.

• Subtract the interior angle from 180°.

• Multiply the number of sides by 40°.

• Add the interior angle to 180°.

How many triangles can be formed in a polygon with 9 sides?

• 5

• 6

• 7

• 8

What is the interior angle of a regular nonagon?

• 150°

• 140°

• 130°

• 120°

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

• 180°

• 720°

• 360°

• 540°

Which of the following is true about exterior angles of polygons?

• They always add up to 180°.

• They are always equal to interior angles.

• They are always less than 90°.

• They always add up to 360°.

If the exterior angle of a regular polygon is 45°, how many sides does it have?

• 8

• 10

• 12

• 6

What is the exterior angle of a regular polygon with 15 sides?

• 40°

• 36°

• 24°

• 30°

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

• (n - 2) × 180°

• n × 180°

• (n + 2) × 180°

• n × 360°

How can you determine if a polygon is regular or irregular?

• By checking if all angles are equal.

• By checking if the sum of interior angles is 180°.

• By checking if the sum of exterior angles is 360°.

• By checking if all sides are equal.