Please complete each of the below examples to the best of your ability.
Use one of the following two strategies for determining the interior angle sum for a polygon:
1) Draw diagonals to create triangles, which have an interior angle sum of 180⁰. In the blue pentagon below, two diagonals create three triangles → 180 • 3 = 540⁰ interior angle sum
2) Use the formula method >>> (n − 2) • 180, where n = the number of the sides. The blue quadrilateral below has four sides. Substitute 4 in for n →(4 − 2) • 180 = 360⁰ interior angle sum
You can also use your notes and/or the following videos for assistance as needed.
Question 1
1.
Find the measure of the fourth interior angle.
Question 2
2.
The figure below displays a hexagon. What is the measure of angle x?
Question 3
3.
Using a method of your choice, determine the sum of the interior angles within this regular nonagon.
Please type just the number!
Question 4
4.
Using a method of your choice, determine the sum of the interior angles within this regular heptagon.
Please type just the number!
Question 5
5.
Using a method of your choice, determine the sum of the interior angles within this irregular hexagon. Then, solve for the measure of angle x.
Please type just the number!
Question 6
6.
Using a method of your choice, determine the sum of the interior angles within this irregular heptagon. Then, solve for x.
Please type just the number!
Question 7
7.
Determine the measure of each individual interior angle in a regular hexagon (six-sided figure).
Please type just the number!
Question 8
8.
Determine the measure of each individual interior angle in a regular dodecagon (12-sided figure).
Please type just the number!
Question 9
9.
Find the number of sides in a polygon whose sum of the interior angles is 1800.
Please type just the number!
Question 10
10.
The border of a Susan B. Anthony dollar is in the shape of a regular polygon.
a) The polygon has _______ sides.
b) The measure of each interior angle of the border is _______ degrees. Round your answer to the nearest degree!