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: Set up the equation for the sum of angles in a triangle. The sum of the angles in any triangle is 180^. The given angles are x, 2x, and 3x. x + 2x + 3x = 180^ Step 2: Solve for x. Combine the terms on the left side of the equation. 6x = 180^ Divide both sides by 6. x = (180^)/(6) x = 30^ Step 3: Calculate the measure of each angle. Substitute the value of x back into the expressions for the angles. Smallest angle: x = 30^ Middle angle: 2x = 2(30^) = 60^ Largest angle: 3x = 3(30^) = 90^ Step 4: Find the difference between the smallest and the largest angle. Difference = Largest angle - Smallest angle Difference = 90^ - 30^ Difference = 60^ The final answer is 60^. That's 2 down. 3 left today — send the next one.