Polygon Angles and Triangle Properties

The video tutorial covers polygons and triangle angles, explaining the formulas for calculating interior and exterior angles. It provides examples of finding angles in a nonagon and a triangle, as well as determining angles in a polygon with specific markings. The tutorial also discusses triangle properties, including the relationship between sides and angles, and how to determine if a triangle can exist based on given side lengths.

What is the formula for the sum of the interior angles of a polygon with n sides?

• 180 degrees times n

• 180 degrees times (n - 2)

• 360 degrees times n

• 360 degrees times (n - 2)

How do you calculate one exterior angle of a regular polygon?

• Multiply 180 degrees by the number of sides

• Multiply 360 degrees by the number of sides

• Divide 360 degrees by the number of sides

• Divide 180 degrees by the number of sides

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

• They are equal

• They add up to 180 degrees

• They add up to 360 degrees

• They add up to 90 degrees

In a regular nonagon, what is the measure of one exterior angle?

• 45 degrees

• 30 degrees

• 40 degrees

• 50 degrees

If a triangle has all sides equal, what is the measure of each interior angle?

• 60 degrees

• 120 degrees

• 45 degrees

• 90 degrees

In a polygon with six interior angles, what is the total sum of these angles?

• 1080 degrees

• 540 degrees

• 720 degrees

• 900 degrees

What is the measure of each angle if two angles in a polygon are marked as 150 degrees and the rest are equal?

• 90 degrees

• 100 degrees

• 150 degrees

• 120 degrees

Which side of a triangle is opposite the largest angle?

• The largest side

• Any side

• The medium side

• The smallest side

In a triangle with angles 45, 65, and 70 degrees, which side is the longest?

• All sides are equal

• Side opposite 70 degrees

• Side opposite 45 degrees

• Side opposite 65 degrees

What must be true for a set of three lengths to form a triangle?

• The sum of the two smallest sides must be greater than the largest side

• The sum of the two largest sides must be greater than the smallest side

• All sides must be equal

• The sum of any two sides must be equal to the third side