Polygon Angle Sum Theorem Worksheet Answers

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Polygon Angle Sum Theorem Worksheet Answers Interior Angle of a Regular Polygon Easy Count the number of sides in each of the polygons featured in this batch of worksheets for 6th grade and 7th grade students Divide the given sum of the interior angles by the number of angles in the polygon to find the size of each interior angle Download the set

By dividing a polygon with n sides into n 2 triangles you can show that the sum of the measures of the angles of any polygon is a multiple of 180 The sum of the measures of the angles of an n gon is n 2 180 Find the sum of the measures of the angles of a 15 gon For a 15 gon n 15 Math 2 Unit 5 Worksheet 1 Math 2 Unit 5 Worksheet 1 Name Polygon Angle Sum Theorems Date Per 1 3 Find the sum of the angle measures of each polygon 1 2 3 12 gon 4 6 Find the measure of one angle in each regular polygon Round to the nearest tenth if necessary 4 5 6 regular 15 gon

Polygon Angle Sum Theorem Worksheet Answers

Polygon Angle Sum Theorem Worksheet Answers

Polygon Angle Sum Theorem Worksheet Answers
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The Polygon Angle Sum Theorem Worksheet Answers MATH MONKS Using the angle sum theorem find the unknown angle s in the given polygon 800 350 1 260 00 530 850 1 020 500 1200 700 900 760 1420 1000 1 1030 The measure of an exterior angle of a regular polygon is given Find the measure of an interior angle 7 30 1500 8 36 1 9 72 Sum of Interior Angles Answer key ES1 Example Sum of the interior angles Number of sides 2 x 180 6 2 x 180 4 180 720 o o o 1 Number of sides Sum of the interior angles o 2 Number of sides Sum of the interior angles 3 Number of sides Sum of the interior angles 4 Number of sides Sum of the interior angles 5

Find the value of each variable Always check your work Worksheet by Kuta Software LLC 4 PACKET 5 1 POLYGON SUM THEOREM 1 Find the measure of one interior angle in a regular 14 gon 2 Find the measure of one exterior angle in a regular 20 gon For problems 3 5 find the value of x For Exercises 1 4 find the sum of the interior angles and the measure of each interior angle for the given regular polygons Round to the nearest tenth as needed 1 12 gon 2 102 gon 3 90 gon 4 36 gon For Exercises 5 8 given the measure of an interior angle of a regular polygon how many sides does each polygon have 5 174 6 156 7

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The measure of each interior angle of a regular n gon is 180 n 2 n Example 180 7 2 7 128 6 Polygon Exterior Angle Sum Theorem The sum of the exterior angles is 360 degrees Example angle 1 angle 2 angle 3 angle 4 angle 5 360 degrees Sum of the Interior Angles Formula Find the number of sides of the given polygon the sum of the measure of interior angles and the measure of each interior angle 4 The measure of each exterior angle of a regular polygon is 5 The measure of each exterior angle of a regular polygon is 6 The measure of each exterior angle of a regular polygon is 7

150 What is the value of x in the regular polygon below 40 What is the measure of an exterior angle of a regular octagon 45 If the measure of an exterior angle of a regular polygon is 24 how many sides does the polygon have 15 We have an expert written solution to this problem Study with Quizlet and memorize flashcards containing terms Section 5 1 Polygon Angles G 3 1 Identify and describe characteristics of convex concave and regular polygons G 3 4 Determine the sum of both the interior and exterior angle measures of a polygon

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Polygon Angle Sum Theorem Worksheet Answers - Triangles Everywhere Sum of Angles in Polygons Activity Sum of Angles in Polygons Worksheet 2 Part 3 Test and Apply Your Equation 7 How many degrees in the angles of a 13 gon n 13 n 2 180 11 180 1980 8 Fill in the fifth column of the table and answer the following questions applying the equation that you derived above A