find the value of x.

Question

the measures of interior angles of a polygon are 93 degrees, 20 degrees, 115 degrees and x degrees. find the value of x

Answer 1

Hi Maria,

You can calculate the sum of the interior angles of a polygon with the formula (n - 2) x 180, where n is the number of sides of the polygon. Your example would be a quadrilateral, meaning that there are four sides, so our formula would be (4 - 2) x 180, or 360. Since 93 + 20 + 115 + x = 360, x would be 132. Hope this helps!