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
You're on a roll — Step 1: Calculate the interior angle at the vertex with the reflex angle. A full circle measures 360^. The interior angle of the triangle at that vertex is the difference between 360^ and the given reflex angle. Interior angle = 360^ - 210^ Interior angle = 150^ Step 2: Apply the sum of angles in a triangle theorem. The sum of the interior angles of any triangle is 180^. The three interior angles of this triangle are x, x, and 150^. Step 3: Set up and solve the equation for x. x + x + 150^ = 180^ 2x + 150^ = 180^ Subtract 150^ from both sides: 2x = 180^ - 150^ 2x = 30^ Divide by 2: x = (30^)/(2) x = 15^ The size of angle x is 15^. What's next?