Find The Measure Of The Interior Angles Of The Following Regular Polygons. How many sides does the polygon have. The measure of one interior angle of a regular polygon is 144 degrees find the number of sides of the polygon-----The corresponding exterior angle is 36 degrees-----The sum of the exterior angles is always 360.
Therefore polygon with minimum interior angle and maximum exterior angle is an equilateral triangle as it has a minimum number of sides possible for a polygon ie 3. Square is a quadrilateral with four equal sides and it is called a 4-sided regular polygon. By Polygon Interior Angles Theorem we have n - 2 180 n 140 Multiply each side by n.
We know that the interior angles of the polygon in the question have measures of 171o n - 2180n 171o n - 2180 171on 180n - 360 171n -360 171n-180n.
Hence the measure of sixth interior angle of the hexagon is 113. 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. 3-21803 60 Square 4-21804 90. The sum of all interior angles 360 The measure of each interior angle 90 Regular Pentagon.