Each Interior Angle Worksheets

What is the Interior Angle Theorem? We all know that polygons are of different shapes and sizes. They can be regular and irregular, or convex and concave. When these polygons meet at a point, they form an interior angle. Ths angle is defined as the angle present in the inside boundary of the polygon. We can easily find this angle by using a formula: S = (n – 2) * 180. Where n indicates the number of sides, a given polygon and s indicates the sum of all the interior angles of the polygon. The alternate interior angle is formed when a transversal passes through two lines. These angles are present inside the two lines and on opposite sides of the transversal. These angles typically form a z-pattern. The alternate angle theorem states that if two parallel lines are crossed or cut by a transversal, then the alternate interior formed will be congruent. First, we will have to identify the pair of alternate angles. Lets take for example a 58 degree angle and another angle that we call y that are present inside the transversal, so these are our alternate interior angles. Next, we can see that angel x and angle 58 form a straight line. Since a straight line measures 180 degrees, so Angle x + 58 = 180 and 180 – 58 = 122. Angle x = 122 degrees. Lastly, we know that the alternate interior angle measures the same. Angle x and angle z are of 122 degrees.