Interior & Exterior Angles
Benchmark Angles
Finding Missing Angles
Building Triangles
Transversals
100
What are the formulas for finding the interior angle sum of a regular polygon and the measure of an individual angle within a regular polygon?
Interior Angle Sum: 180 (n - 2)
Individual Angles: 180 (n - 2) / n
100
Estimate using your benchmark angles.
135°
100
Suppose the measure of an angle is 50°. What is the measure of its complementary angle? Draw a picture to show that you are correct.
40°
100
Will the following three sides create a triangle? How do you know? If so, what type of special triangle will they create?
(17, 17, 17)
Yes, these sides will create an equilateral triangle.
100
What are the vertical pairs of angles in the transversal?
(a,f), (b,e), (c,h), (d,g)
200
What is the interior angle sum of a regular 15 sided polygon? Use your formula.
2,340°
200
Estimate using your benchmark angles.
60°
200
What is the measure of interior angle p?
60°
200
Will the following three sides create a triangle? How do you know? If so, what type of special triangle will they create?
(5, 6, 7)
Yes, these sides will create a scalene triangle.
200
What are the pairs of supplementary angles in the transversal?
(a,e), (a,b), (b,f), (e,f), (g,c), (c,d), (d,h), (g,h)
300
How many degrees are in one interior angle of a regular decagon?
144°
300
Estimate using your benchmark angles.
30°
300
Suppose the measure of an angle is 115°. What is the measure of its supplementary angle? Draw a picture to show that you are correct.
65°
300
Will the following three sides create a triangle? How do you know? If so, what type of special triangle will they create?
(2, 9, 14)
No, they will not create a triangle.
300
***DAILY DOUBLE***
Use the figure below which shows two parallel lines and one transversal. The measure of Angle c is 120°. Find the measure of angle a. Explain how you found the measure.
120° (Corresponding Angles)
400
What is the interior angle sum of a regular 20 sided polygon? Use your formula.
3,240°
400
Estimate using your benchmark angles.
120°
400
Using rectangle ABCD with diagonal AC, find the measure of angle DCA. Show your work.
59°
400
Will the following three sides create a triangle? How do you know? If so, what type of special triangle will they create?
(10, 4, 3)
No, they will not create a triangle.
400
Use the figure below which shows two parallel lines and one transversal. The measure of Angle c is 120°. Find the measure of angle h. Explain how you found the measure.
120° (Vertical Angles)
500
How many degrees are in one exterior angle of a regular decagon?
36°
500
Draw all of your benchmark angles. (Remember to use the coordinate plane to guide you.)
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500
Suppose the measure of an angle is 40°. What is the measure of its supplementary angle? Draw a picture to show that you are correct.
140°
500
Will the following three sides create a triangle? How do you know? If so, what type of special triangle will they create?
(25, 25, 40)
Yes, these sides will create a isosceles triangle.
500
Use the figure below which shows two parallel lines and one transversal. The measure of Angle c is 120°. Find the measure of angle g. Explain how you found the measure.
60° (Supplementary Adjacent Angles)