This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To find the value of x in the figure, we first need to identify the type of polygon and then use the formula for its interior angles. Step 1: Identify the polygon. The figure is a regular pentagon, which means it has 5 equal sides and 5 equal interior angles. Step 2: Calculate the sum of the interior angles of a pentagon. The formula for the sum of the interior angles of a polygon with n sides is (n-2) × 180^. For a pentagon, n=5. Sum of interior angles = (5-2) × 180^ = 3 × 180^ = 540^. Step 3: Calculate the measure of one interior angle. Since it is a regular pentagon, all interior angles are equal. To find the measure of one angle (x), divide the sum of the interior angles by the number of sides (or angles). x = (540^)/(5) x = 108^ The value of x is 108^. The correct option is C. C. 108 degrees That's 2 down. 3 left today — send the next one.