How To Find The Measure Of Interior Angles

But hey these are three interior angles in a triangle.

How to find the measure of interior angles. The angles denoted with the same greek letters are congruent because they are alternate interior angles. That s why α β γ 180. Without more information you can only find the value of the interior angles of a regular polygon.

Therefore the base angle is degrees. If we know the sum of all the interior angles of a regular polygon we can obtain the interior angle by dividing the sum by the number of sides. All the angles in a square are equal to 90.

Choose one vertex or corner of the polygon and draw straight lines. To find the measurement of the interior angles in a square you divide the sum of the angles 360 by the number of sides 4. Sum of interior angles n 2 180 each angle of a regular polygon n 2 180 n.

Interior angle sum of the interior angles of a polygon n. N 2 x 180. Using the equation is n 2 180 n where n is the number of sides of the regular polygon a regular polygon refers to a multi sided convex figure where all sides are equal in length and all angles have equal degree measures.

This will give you in degrees the sum of the interior angles in your polygon. The measure of each interior angle is. The measure of each interior angle of an equiangular n gon is if you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360.

You will note that this angle is the supplement of a base angle of one of the triangles of the pentagram. In this case n is the number of sides the polygon has. 2 x research source.