#### How do you determine the measures of interior angles of a polygon? Geometry in mathematics is fun. And when geometrical concepts, you will come across the term "polygon." What is a polygon? It is a form of two-dimensional shape made of regular and straight lines. Some examples include triangles, quadrilaterals, pentagons, and hexagons. All polygons have internal angles. What are interior angles? Any angle that is formed by two sides of the polygon, sharing one end point is an interior angle. So, how do you measure interior angles of a polygon? Before we get into the details, you need to know what sum of the measure of interior angles. To know this, you need to use this formula. Sum of the Measure of Interior Angles = (n - 2) * 180 Here, n is the total number of sides the polygon has. So, whatever regular polygon you have, to find the sum of the measure of interior angles, all you have to do is plug in your number of sides into the n variable and then evaluate. So, what if you want to find one angle? This formula will tell you the sum of interior angles, then all you have to do is subtract the sum of known interior angles from the total sum of interior angles, and it's done!

This set of worksheets concentrates on the interior angles of polygons. Interior angles of a polygon are the angles that are found inside the polygon. By definition all the interior angles of a regular polygon are the same, if it is a uniform shape. The sum of the interior values always adds up to a constant value based on the number of sides of the polygon. For example a five side polygon (pentagon) always adds up to a measure of 540 degrees. These worksheets explain how find the measure of interior angles. Students will also determine the number of sides a polygon has by using information about its angles.