Properties of Polygons and Angles

The video tutorial explains how to calculate the sum of interior and exterior angles in polygons. It introduces the formula for finding the sum of interior angles, provides examples with decagons and pentagons, and explains the concept of exterior angles. The tutorial also covers irregular polygons and how to find each interior angle in regular polygons using division.

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

• n times 180

• n minus 2 times 180

• n plus 2 times 180

• n divided by 2 times 180

If a polygon has 10 sides, what is the sum of its interior angles?

• 1440 degrees

• 1260 degrees

• 1800 degrees

• 1620 degrees

How many sides does a decagon have?

• 10

• 9

• 12

• 8

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

• 900 degrees

• 360 degrees

• 540 degrees

• 720 degrees

In a pentagon, if two angles are 121 degrees each, what is the measure of the unknown angle if the other two are 101 and 98 degrees?

• 102 degrees

• 101 degrees

• 100 degrees

• 99 degrees

If a polygon has 12 sides, what is the sum of its interior angles?

• 1980 degrees

• 1800 degrees

• 2160 degrees

• 2340 degrees

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

• 900 degrees

• 1080 degrees

• 720 degrees

• 540 degrees

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

• 360 degrees

• 270 degrees

• 180 degrees

• 450 degrees

If a regular polygon has 9 sides, what is the measure of each exterior angle?

• 50 degrees

• 40 degrees

• 30 degrees

• 60 degrees

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

• 60 degrees

• 72 degrees

• 45 degrees

• 90 degrees