Sum of Interior Angles of Polygons Worksheets
What is the Sum of Interior Angles of Polygons? Geometry is the most fun part about Math, isn't that right? It is exciting to study about what shapes are, what they form, and what their sides are. Do you remember what polygons are? Do not worry! Let us take a look at what they are together! Polygons are shapes that have many sides. Their sides are line segments that join to form a closed polygonal chain or polygonal circuit. Now, let us take a look at what interior angles are. In polygons, angles are formed two sides of the polygon that share an endpoint. In plain words, interior angles are angles that are formed inside the polygon by sides that are adjacent to each other. Or, any angle formed between two straight lines that are intersected by a third straight line is known as the interior angles. These angles have degrees attached to it. The sum of the interior angles of a polygon is always 180°.
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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? Triangle has three side and formula to find out the sum of interior angles: 180 (n – 2),Here n is number of sides of the given polygon, n = 3 So, by using formula: 180 ( n – 2) = 180 ( 3 – 2) = 180 × 1 = 180°
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Intermediate Lesson
Demonstrates how to find the measure of each exterior angle in a polygon. Example: What is the measure of each exterior angle in a square? Square has four side and formula to find out the sum of interior angles: 180 (n - 2), Here n is number of sides of the given polygon, n = 4 So, by using formula: 180 ( n - 2) = 180 ( 4 - 2) = 180 × 2 = 360° Measure of each interior angle = sum of all angles ÷ n = 360/4 = 90° . Measure of each exterior angle = 180 - each interior angle = 180 - 90 = 90°
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Sum of Interior Angles of Polygons. How many degrees are there in the sum of the interior angles of an eleven-sided polygon?
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Independent Practice 2
Students use Sum of Interior Angles of Polygons in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Sum of Interior Angles of Polygons.
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Skill Quiz
This tests the students ability to understand Sum of Interior Angles of Polygons.
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Felix Klein
"Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions."