1. Geometry/Trig Name: __________________________
Polygons Worksheet 1 Date: __________________________
Directions: Solve each algebra connection problem; show all work; answer all questions. 1. A 2. A B x
10x + 25
24x
30x - 5
6x - 1 B C D C
x = ________
mÐA = ______
mÐB = ______
mÐC = ______
mÐD = ______
x = ________
mÐA = ______
mÐB = ______
mÐC = ______
Name: ___________________________________
Sum of the Interior Angles: ___________________
Sum of the Exterior Angles: ___________________
Number of Diagonals: ________________________
Name: ___________________________________
Sum of the Interior Angles: ___________________
Sum of the Exterior Angles: ___________________
Number of Diagonals: ________________________ 3. 4. B A B
x = ________
mÐA = ______
mÐB = ______
mÐC = ______
mÐD = ______
mÐE = ______
mÐF = ______ 3x 3x
45x + 1 A C
29x
29x
38x + 1
38x + 1 F 4x 4x C E D
x = ________
mÐA = ______
mÐB = ______
mÐC = ______
mÐD = ______
mÐE = ______ 3x 3x D E
Name: ___________________________________
Sum of the Interior Angles: ___________________
Sum of the Exterior Angles: ___________________
Number of Diagonals: ________________________
Name: ___________________________________
Sum of the Interior Angles: ___________________
Sum of the Exterior Angles: ___________________
Number of Diagonals: ________________________

2. Geometry/Trig Name: __________________________
Polygon Worksheet 2 Date: __________________________
Section 1 – Identify each as a regular polygon or irregular polygon. Use only information that you can definitely conclude. Do not assume anything based on what the figure “looks like.” 3 3
120 ° 3
120°
120 ° 3 3
120 °
120 ° 3
50 °
60 °
Section 2 – Write each formula.
Sum of the measures of the interior angles:
Sum of the measures of the exterior angles:
Number of Diagonals:
Measure of each interior angle (if the polygon was regular):
Measure of each exterior angle (if the polygon was regular):
Section 3 – Use your formulas from above to complete each problem.
A Regular Polygon has 7 sides.
A Regular Polygon has an interior angle sum of 1440.
Each exterior angle of a regular polygon has a measure of 60.
Name: _____________________
Sum of the Interior Ðs: _______
Measure of each Interior Ð: ____
Sum of the Exterior Ðs: _______
Measure of each Exterior Ð: ____
Number of Diagonals: _________
Name: _____________________
Number of Sides: ____________
Measure of each Interior Ð: ____
Sum of the Exterior Ðs: _______
Measure of each Exterior Ð: ____
Number of Diagonals: _________
Name: _____________________
Number of Sides: ____________
Sum of the Interior Ðs: _______
Measure of each Interior Ð: ____
Number of Diagonals: _________