Polygon Properties and Angle Measures

The video tutorial covers the angles of polygons, focusing on the sum of interior and exterior angles. It introduces key vocabulary such as equilateral, equiangular, and regular polygons. The interior angles theorem is explained, showing how to calculate the sum of interior angles for any polygon. Examples are provided for different polygons, including quadrilaterals and octagons. The tutorial also covers classifying polygons by their interior angles and finding the measure of each angle in regular polygons. Finally, the exterior angles theorem is discussed, emphasizing that the sum of exterior angles in any convex polygon is always 360 degrees.

What is the sum of the measures of the interior angles of a polygon with 6 sides?

• 180 degrees

• 360 degrees

• 540 degrees

• 720 degrees

Which of the following is true for an equilateral polygon?

• It has at least 5 sides

• It is always a triangle

• All sides are congruent

• All angles are congruent

What is the formula for finding the sum of the interior angles of a polygon?

• n x 180

• (n-2) x 180

• n + 180

• (n+2) x 180

How many degrees is the sum of the interior angles of a quadrilateral?

• 540 degrees

• 360 degrees

• 180 degrees

• 720 degrees

What is the sum of the interior angles of an octagon?

• 1080 degrees

• 540 degrees

• 720 degrees

• 360 degrees

If the sum of the interior angles of a polygon is 900 degrees, how many sides does it have?

• 7

• 8

• 5

• 6

What is the measure of each interior angle in a regular pentagon?

• 150 degrees

• 135 degrees

• 108 degrees

• 120 degrees

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

• 360 degrees

• 720 degrees

• 180 degrees

• 540 degrees

How many sides does a polygon have if each interior angle measures 156 degrees?

• 18

• 10

• 12

• 15

What is the sum of the measures of the interior angles of a polygon with 15 sides?

• 1800 degrees

• 1980 degrees

• 2160 degrees

• 2340 degrees