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
Step 1: Identify the shape and its properties. The given shape is a quadrilateral, which is a polygon with four sides. The sum of the interior angles of any quadrilateral is 360^. Step 2: Identify the known angles. The diagram shows three known interior angles: • One angle is 86^. • Another angle is 67^. • The square symbol indicates a right angle, which is 90^. • The fourth angle is m. Step 3: Set up the equation for the sum of the interior angles. 86^ + 67^ + 90^ + m = 360^ Step 4: Add the known angles. 243^ + m = 360^ Step 5: Solve for m by subtracting 243^ from both sides. m = 360^ - 243^ m = 117^ Final Answer 117^