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 three angles, x, 5x, 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 three angles and set their sum equal to 180^: x + 5x + 4x = 180^ Step 3: Solve for x. Combine the like terms on the left side of the equation: (1 + 5 + 4)x = 180^ 10x = 180^ Divide both sides by 10 to find the value of x: x = (180^)/(10) x = 18^ Step 4: Calculate the measure of each angle. Substitute the value of x back into each expression: • First angle: x = 18^ • Second angle: 5x = 5 × 18^ = 90^ • Third angle: 4x = 4 × 18^ = 72^ 3 done, 2 left today. You're making progress.