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The angles of a pentagon measure 117,124,132,85 and 2x. Solve for x

well, they add up to 540° so add 'em all up and solve for x.

Did you know?

Did you know that the sum of the interior angles in any polygon is given by the formula 180(n-2), where n is the number of sides? For example, in a pentagon (a polygon with 5 sides), the sum of the interior angles is equal to 180(5-2) = 540 degrees. With this knowledge, we can solve the given problem! The angles of the pentagon are stated as 117, 124, 132, 85, and 2x. To find the value of x, we can add up all the angles and set it equal to the sum of the interior angles of a pentagon (which we know is 540 degrees). So, 117 + 124 + 132 + 85 + 2x = 540. By simplifying the equation, we find that 458 + 2x = 540. Solving for x, we subtract 458 from both sides giving us 2x = 82, and after dividing by 2, we get x = 41. Therefore, x is equal to 41 degrees in this pentagon!