Polygon Angles and Properties

The video tutorial explains the concept of polygons, focusing on regular and irregular types. It covers the calculation of angle sums in polygons, both interior and exterior, and provides methods to determine these angles based on the number of sides. The tutorial includes practice problems to reinforce understanding of these concepts.

What is a polygon?

• A 2D shape with curved sides

• A 2D shape with straight sides

• A 3D shape with curved sides

• A 3D shape with straight sides

Which of the following is a regular polygon?

• A triangle with sides 3, 4, 5

• A square

• A pentagon with sides 2, 2, 2, 2, 3

• A rectangle

What is the sum of the interior angles of a quadrilateral?

• 360 degrees

• 180 degrees

• 540 degrees

• 720 degrees

How do you calculate the sum of the interior angles of a polygon with n sides?

• n * 90

• n * 180

• (n-2) * 180

• (n-2) * 90

What is the measure of each angle in a regular hexagon?

• 60 degrees

• 90 degrees

• 108 degrees

• 120 degrees

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

• They add up to 90 degrees

• They add up to 180 degrees

• They are equal

• They add up to 360 degrees

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

• 540 degrees

• 360 degrees

• 720 degrees

• 180 degrees

How do you find the size of each exterior angle in a regular polygon with n sides?

• 180 / n

• 540 / n

• 720 / n

• 360 / n

If the interior angle of a regular polygon is 170 degrees, how many sides does it have?

• 10

• 12

• 18

• 36

In an irregular pentagon, if four angles are 142, 135, 75, and 73 degrees, what is the fifth angle?

• 180 degrees

• 115 degrees

• 150 degrees

• 120 degrees