Sum Of Interior Angles Of A Polygon Worksheet Sum of Interior Angles Answer key ES2 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
Angles in polygons Examples m n Question 2 Work out the sum of the interior angles for polygons with 10 sides 14 sides e 50 sides c 20 sides d 45 sides f 80 sides g 100 sides h 200 sides Question 3 Work out the number of sides of polygons with these sum of interior angles 1260 176 2880 176 e 12240 176 5 Can the interior angles of a polygon have a sum between 4300 176 and 4400 176 If so how many sides can it have 6 The measure of the interior angle of a regular polygon is 179 176
Sum Of Interior Angles Of A Polygon Worksheet
Sum Of Interior Angles Of A Polygon Worksheet
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SUM OF INTERIOR ANGLES OF A POLYGON WORKSHEET Problem 1 Find the value of x in the diagram shown below Problem 2 Find the value of x in the diagram shown below Problem 3 Find the measure of each interior angle of the regular polygon given below Problem 4 What is the measure of each interior angle of a regular decagon Problem 5 Practice the questions given in the worksheet on interior angles of a polygon We know the sum of all the interior angles of a polygon is n 2 215 180 176 The questions are based on finding the sum of the interior angles of a polygon using the formula
Sum of the Interior Angles of a Polygon Investigation Steps for each Polygon 1 Count the number of sides in the polygon Record this number in your table 2 Pick a vertex Draw diagonal lines from this vertex to every other non adjacent vertex to create triangles Count how many triangles you have created 1 Find the sum of the degree of the measures of the interior angles of a regular polygon that has 8 sides 2 Find the sum of the degree of the measures of the interior angles of a regular polygon that has 16 sides
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Interior Angles of Regular Polygons Compute the sum of the interior angles and divide by the number of sides to find the measure of each interior angle of regular polygons like pentagons hexagons and more The General Rule Each time we add a side triangle to quadrilateral quadrilateral to pentagon etc we add another 180 176 to the total So the general rule is Sum of Interior Angles n 2 215 180 176 Each Angle of a Regular Polygon n 2 215 180 176 n Perhaps an example will help Example What about a Regular Decagon 10 sides
The sum of the interior angles of a polygon is always 180 176 Basic Lesson Guides students through the process of determining the interior and central angles of polygons Example What is the sum of the interior angles of a triangle The sum of the exterior angles is found by subtracting the sum of the measures of the interior angles from the sum of the measures of the linear pairs at the vertices Step 5
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Sum Of Interior Angles Of A Polygon Worksheet - Sum of the Interior Angles of a Polygon Investigation Steps for each Polygon 1 Count the number of sides in the polygon Record this number in your table 2 Pick a vertex Draw diagonal lines from this vertex to every other non adjacent vertex to create triangles Count how many triangles you have created