Exterior Angles of Polygons

The video tutorial explains how to determine the number of sides of a polygon by using its interior and exterior angles. It starts by identifying an interior angle of 172 degrees and calculates the corresponding exterior angle as 8 degrees. Since the sum of all exterior angles in a polygon is 360 degrees, dividing 360 by the exterior angle gives the number of sides, which is 45 in this case. This method is applicable to regular polygons and helps solve similar geometric problems.

What is the interior angle of the polygon mentioned in the video?

• 160 degrees

• 190 degrees

• 172 degrees

• 180 degrees

What is the first step in determining the number of sides of the polygon?

• Finding the perimeter

• Calculating the area

• Identifying the exterior angle

• Measuring the diagonal

If an interior angle is 172 degrees, what is the corresponding exterior angle?

• 8 degrees

• 18 degrees

• 28 degrees

• 38 degrees

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

• They are equal

• They add up to 90 degrees

• They add up to 180 degrees

• They add up to 360 degrees

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

• 360 degrees

• 180 degrees

• 270 degrees

• 450 degrees

Why do all exterior angles of a polygon add up to 360 degrees?

• Because of the shape's symmetry

• Due to the sum of interior angles

• It's a geometric property

• It's a mathematical coincidence

How do you calculate the number of sides in a regular polygon using the exterior angle?

• Divide 360 by the exterior angle

• Multiply the exterior angle by 360

• Add the exterior angle to 360

• Subtract the exterior angle from 360

What is the number of sides of the polygon if the exterior angle is 8 degrees?

• 45

• 50

• 30

• 40

If a polygon has an exterior angle of 10 degrees, how many sides does it have?

• 30

• 36

• 18

• 24

What is the formula to find the number of sides in a regular polygon?

• 360 divided by the interior angle

• 360 divided by the exterior angle

• 180 divided by the exterior angle

• 180 divided by the interior angle