# Exterior Angles of Polygons Worksheets

How to Determine the Measures of Exterior Angles of Polygons - It is easy to determine the interior angles of a polygon if the shape is one from the initial few polygons, like a triangle or a square or a rectangle. However, when we go down that lane, the shapes become more complex, and determining the values of their internal angles becomes more and more difficult. However, once we have calculated their internal angles, it is pretty easy to determine their exterior angles. In the case of a pentagon, for instance, the sum of all internal angles is 540 degrees, and knowing the fact that all angles are congruent to each other, we just divide 540 by '5' and get the answer to the value of a single angle. After we get the value of a single interior angle, it is not that difficult to find the value of that exterior angle. All we have to do is apply an elementary concept. At any point, a circle can be drawn, and the value of the angle made by that circle would be 360 degrees. So, we just subtract 360 by the value of that internal angle to get the value of that exterior angle.

• ### Basic Lesson

Guides students through the determine the exterior and central angles of a polygon. What is the measure of exterior angle of a triangle? Triangle has three sides and formula to find out the measure of each interior angle: 180( n – 2)/n. Measure of exterior angle: 180 - measure of each interior angle. Here n is number of sides of the given polygon, n = 3. Measure of each interior angle = sum of all angles ÷ n. So, by using formula: 180( n – 2)/3 = 180( 3 – 2)/3 = 180 × 1/3 = 180/3 = 60°. So exterior angle = 180 – 60 = 120°.

• ### Intermediate Lesson

Demonstrates how interior and exterior angles relate. If the sum of the interior angles of a polygon equals 360°, How many degrees are there in exterior angle of given polygon?

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Exterior Angles of Polygons.

• ### Independent Practice 2

Students use Exterior Angles of Polygons in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Exterior Angles of Polygons.

• ### Skill Quiz

This tests the students ability to understand Exterior Angles of Polygons.