Number 14 how do you find the interior angles of any polygon? By: ella acheson

How to...... You count the number of sides on the polygon Then minus 2 from the number of sides And times that by 180 The answer is the sum of the interior angles  Then if you want to find a missing angle just do as you would if the interior angles were 180 degrees or 360 degrees

Example # 1 (not drawn to scale) Each side on this shape are are 108 degrees but there is a missing angle called x what is it? 5 – 2= 3 x 180= 540 108 + 108 + 108 + 108 + x = 540 432 + x = 540 - 432 - 432 x = 108 degrees

Example # 2 (not drawn to scale) 1 side on this shape the angles are 54 degrees, two are 83 degrees and another 2 are 67 degrees and there is x, what is x? 6 – 2 = 4 x 180 = 720 54 + 83 + 83 + 67 + 67 + x = 720 354 + x = 720 - 354 - 354 x = 366 degrees

Example # 3 (not drawn to scale) 3 sides on this shape are 112 degrees, 5 are 145 degrees and 3 are 42 degrees, and the last one is x, what is x? 12 – 2 = 10 x 180 = 1800 112 + 112+ 112 + 145 + 145 + 145 + 145 + 145 + 42 + 42 + 42 + x = 1800 1186 + x = 1800 - 1186 - 1186 x = 614