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

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Last updated about 1 year ago
23 questions
Note from the author:
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.
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.
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Day 1 5/9/23


Sums of the Interior Angles of a Polygon

Question 1
1.

Draw an example of a hexagon.

Question 2
2.

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

Draggable itemarrow_right_altCorresponding Item
arrow_right_alt
triangle
arrow_right_alt
decagon
arrow_right_alt
octagon
arrow_right_alt
hendecagon
arrow_right_alt
pentagon
Question 3
3.

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

Question 4
4.

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

Question 5
5.

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

Question 6
6.
The sum of the interior angles of a polygon with 7 sides is _______ degrees.


Question 7
7.

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

Question 8
8.

What is a polygon?

Question 9
9.

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

Question 10
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

Question 11
11.

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

Question 12
12.

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

Question 13
13.

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

Question 14
14.

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

Finding the Measure of Each Exterior Angle of a Regular Polygon

Question 15
15.

Draw all the exterior angles of this regular polygon.

Question 16
16.

What is the measure of each exterior angle?


Question 17
17.

Draw all the exterior angles of this regular polygon.

Question 18
18.

What is the measure of each exterior angle?


Question 19
19.

Find the value of x.


Question 20
20.

Find the value of x.


Question 21
21.

Find the value of x.


Question 22
22.

Find the value of x.


Question 23
23.

Find the value of x.