Calculating the Sum of Interior Angles in Polygons

The video tutorial explains the concept of interior angles in polygons. It starts with triangles, where the sum of interior angles is 180 degrees, and extends the concept to quadrilaterals, pentagons, and general polygons. By dividing polygons into triangles, the video demonstrates how to calculate the sum of interior angles for any polygon using the formula (s-2) * 180 degrees, where s is the number of sides.

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

• 180 degrees

• 90 degrees

• 360 degrees

• 270 degrees

Tags

CCSS.8.G.A.5

How many degrees are the interior angles of a quadrilateral?

• 180 degrees

• 360 degrees

• 270 degrees

• 450 degrees

By dividing a pentagon into triangles, how many triangles can be formed?

• Five

• Four

• Three

• Two

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

• 630 degrees

• 540 degrees

• 450 degrees

• 360 degrees

For a polygon with 6 sides, how many triangles can be formed?

• Five

• Four

• Three

• Two

Tags

CCSS.5.G.A.1

What is the formula to find the sum of the interior angles of a polygon?

• (s - 3) * 180

• (s - 2) * 90

• (s - 2) * 180

• (s - 4) * 180

How many triangles can be formed in a decagon?

• Eight

• Nine

• Ten

• Eleven

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

• 1620 degrees

• 1440 degrees

• 1800 degrees

• 1980 degrees

If a polygon has 102 sides, how many triangles can be formed?

• 102

• 101

• 100

• 103

What is the sum of the interior angles of a 102-sided polygon?

• 18000 degrees

• 18200 degrees

• 18400 degrees

• 18600 degrees