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 relationship between the angles. The image shows two angles, 2x and 4x, that lie on a straight line. Angles on a straight line are supplementary, meaning their sum is 180^. Step 2: Formulate the equation. Add the two angles and set their sum equal to 180^: 2x + 4x = 180^ Step 3: Solve for x. Combine the like terms on the left side of the equation: (2 + 4)x = 180^ 6x = 180^ Divide both sides by 6 to find the value of x: x = (180^)/(6) x = 30^ Step 4: Calculate the measure of each angle. Substitute the value of x back into each expression: • First angle: 2x = 2 × 30^ = 60^ • Second angle: 4x = 4 × 30^ = 120^ The size of x is 30^. 4 down, 1 left today. What's next?