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: Define the unknown angles. Let the smaller angle be x. Let the larger angle be y. Step 2: Formulate equations based on the problem statement. The problem states that the larger angle is four times bigger than the smaller angle: y = 4x The diagram shows two angles on a straight line, which means they are supplementary. Their sum is 180^: x + y = 180^ Step 3: Substitute the first equation into the second equation. Substitute y = 4x into x + y = 180^: x + 4x = 180^ Step 4: Solve for x. Combine like terms: 5x = 180^ Divide by 5: x = (180^)/(5) x = 36^ Step 5: Solve for y. Use the relationship y = 4x: y = 4 × 36^ y = 144^ The two unknown angles are 36^ and 144^. The smaller angle is 36^. The larger angle is 144^. Send me the next one 📸