6.3 Sum of the Interior and Exterior Angles of Polygons (Due 5/10/23)

Instructions

Essential Question: How do you find the measure of the interior and exterior angles of polygons?

Learning Target: Students will be able to calculate the measures of the interior and exterior angles of polygons and apply that knowledge to solve real world problems.

Complete the entire assignment and show work for full credit.

Day 1 5/9/23

Sums of the Interior Angles of a Polygon

Required

5

Draw an example of a hexagon.

Required

10

Draggable item		Corresponding Item

Required

3

Required

10

How do you find the sum of the interior angles of an irregular polygon?

Required

2

Required

5

The sum of the interior angles of a polygon with 7 sides is _______ degrees.

Required

3

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

Required

5

What is a polygon?

Required

8

Required

10

Find the sum of the measures of the interior angles in each polygon.

16-gon
_______ degrees

20-gon

_______ degrees

100-gon
_______ degrees

Finding the Measure of Each Interior Angle of a Regular Polygon

Required

5

What is the formula for finding the measure each angle of a regular polygon?

Required

5

What does "n" represent in the formulas that are used for calculating the interior and exterior angles of polygons?

Required

5

Find the measure of the indicated angle of the regular polygon.

Required

5

Find the measure of the indicated angle of the regular polygon.

Finding the Measure of Each Exterior Angle of a Regular Polygon

Required

10

Draw all the exterior angles of this regular polygon.

10

What is the measure of each exterior angle?

Required

10

Draw all the exterior angles of this regular polygon.

10

What is the measure of each exterior angle?

Required

10

Find the value of x.

Required

10

Find the value of x.

Required

10

Find the value of x.

Required

10

Find the value of x.

Required

10

Draggable item		Corresponding Item
		triangle
		decagon
		octagon
		hendecagon
		pentagon

6.3 Sum of the Interior and Exterior Angles of Polygons (Due 5/10/23)

Day 1 5/9/23

Sums of the Interior Angles of a Polygon

Draw an example of a hexagon.

How do you find the sum of the interior angles of an irregular polygon?

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

What is a polygon?

Finding the Measure of Each Interior Angle of a Regular Polygon

What is the formula for finding the measure each angle of a regular polygon?

What does "n" represent in the formulas that are used for calculating the interior and exterior angles of polygons?

Find the measure of the indicated angle of the regular polygon.

Find the measure of the indicated angle of the regular polygon.

Finding the Measure of Each Exterior Angle of a Regular Polygon

Draw all the exterior angles of this regular polygon.

What is the measure of each exterior angle?

Draw all the exterior angles of this regular polygon.

What is the measure of each exterior angle?

Find the value of x.

Find the value of x.

Find the value of x.

Find the value of x.

Find the value of x.

Day 1 5/9/23

Sums of the Interior Angles of a Polygon

Draw an example of a hexagon.

Match the image of each polygon with its name. (Count the sides)

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

How do you find the sum of the interior angles of an irregular polygon?

The sum of the interior angles of a hexagon is 720 degrees.

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

What is a polygon?

Which of the following is true about the sum of interior angles of a polygon?

Finding the Measure of Each Interior Angle of a Regular Polygon

What is the formula for finding the measure each angle of a regular polygon?

What does "n" represent in the formulas that are used for calculating the interior and exterior angles of polygons?

Find the measure of the indicated angle of the regular polygon.

Find the measure of the indicated angle of the regular polygon.

Finding the Measure of Each Exterior Angle of a Regular Polygon

Draw all the exterior angles of this regular polygon.

What is the measure of each exterior angle?

Draw all the exterior angles of this regular polygon.

What is the measure of each exterior angle?

Find the value of x.

Find the value of x.

Find the value of x.

Find the value of x.

Find the value of x.