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Polygon Exterior Angles
Solving by Using the Distributive Property
Polygon Interior Angles
Equation Grab Bag
Word Problems
100

The sum of the exterior angles on any polygon is...

360 degrees

100
2(x + 5) = 14
x = 2
100

The sum of the interior angles of a triangle is...

180

100
4x + 9 = 33
x = 6
100
WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?
n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.
200

The measure of the exterior angles of a regular hexagon is...

60 degrees

200
5(d - 2) = 40
d = 10
200

The sum of the interior angles of a polygon with 1000 sides is...

179640 degrees

200
x + 3x = -8
x = -2
200
Mr. Cushman bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Mr. Cushman buy?
n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99
300

The sum of the exterior angles of a 36-gon is...

360 degrees

300
7(4 - t) = -84
t = 16
300

The sum of the interior angles of a polygon with 17 sides is...

2700

300
4(y - 2) + y = -13
y = -1
300
Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?
a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.
400

The measure of an exterior angle of a regular quadrilateral is...


90 degrees

400
-2(x - 9) = -24
x = 21
400

The formula for the sum of the interior angles of a polygon is...

(n - 2)180

400
-6(m + 1) + 18 = 24
m = -2
400
Mr. Bucci goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. His total cost was $34.76. What was the cost for a bag of raisins?
r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87
500

A regular polygon with an exterior angle measure of 18 degrees has how many sides?


20

500
-13(4 + 2a) = 208
a = -10
500

The formula for the sum of the interior angles of a polygon with n sides is...

1260 degrees

500
7k - 8 + 2(k + 12) = 52
k = 4
500
When you count by ones fron many integer, you are counting consecutive integers. Using variables, three consecutive integers are n, n + 1, and n + 2. The sum of three consecutive integers is 48. What are the integers?
n + n + 1 + n + 2 = 48 n = 15 The integers are 15, 16, and 17.