The Polygon Angle Sum Theorem Worksheet Answer Key USING THE INTERIOR amp EXTERIOR ANGLE SUM THEOREMS 1 The measure of one exterior angle of a regular polygon is given Find the nmnbar of sides for each a 72 176 b 40 176 2 Find the measure of an interior and an exterior angle of a regular 46 gon 3 The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle
We all know that the sum of the angles of a triangle equal 180 176 What about a quadrilateral A pentagon We can answer this question by looking for a pattern The sum of the measures of the interior angles of a polygon is where n is the number of Polygon Angle Sum Theorem Worksheets showing all 8 printables Worksheets are 6 polygons and angles Name period gp unit 10 quadrilaterals and p Su
The Polygon Angle Sum Theorem Worksheet Answer Key
The Polygon Angle Sum Theorem Worksheet Answer Key
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To find the sum of the interior angle measures of a convex polygon draw all possible diagonals from one vertex of the polygon This creates a set of triangles The sum of the angle measures of all the triangles equals the sum of the angle measures of the polygon Remember Showing 8 worksheets for Polygon Angle Sums Worksheets are 6 polygons and angles Sum of angles in polygons work answer key Exterior angle The poly
Critical Thinking The sum of the measures of the angles of a given polygon is 720 How can you use Sum n 2 180 to nd the number of sides in the polygon You will sometimes use algebra with the Polygon Angle Sum Theorem to nd Feb 6 2020 nbsp 0183 32 The Polygon Angle Sum Theorems 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
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Find the sum of the angle measures of each polygon 1 To start determine the sum of the angles using the Polygon Angle Sum eorem Sum 5 n 2 2 180 Find the measure of one angle in each regular polygon 6 To start write the formula used to calculate the measure of an angle of a regular polygon en substitute n 5 9 into the formula Sum of Angles in Polygons Worksheet Answer Key Part 1 Drawing Polygon Shapes 1 Each group selects 6 8 different regular polygons two per person Each group member is responsible for accurately drawing two polygons on separate sheets of paper Use a ruler or straightedge to draw the shapes Choose from the following regular polygons
Showing 8 worksheets for Polygon Angle Sum Theorem Worksheets are 6 polygons and angles Name period gp unit 10 quadrilaterals and p Sum of angles i View download and print The Polygon Angle sum Theorems Worksheet With Answers pdf template or form online 18 Angles In Shapes Worksheet Templates are collected for any of your needs
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The Polygon Angle Sum Theorem Worksheet Answer Key - Feb 6 2020 nbsp 0183 32 The Polygon Angle Sum Theorems 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