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 given angles. The two angles, 4m - 15 and 3m + 75, are vertically opposite angles. Vertically opposite angles are equal. Step 2: Set up the equation. 4m - 15 = 3m + 75 Step 3: Solve for m. Subtract 3m from both sides: 4m - 3m - 15 = 75 m - 15 = 75 Add 15 to both sides: m = 75 + 15 m = 90 The value of m is 90. Step 4: Verify the angles (optional). If m = 90: First angle: 4(90) - 15 = 360 - 15 = 345^ Second angle: 3(90) + 75 = 270 + 75 = 345^ The angles are equal, so the value of m is correct. The value of m is 90. Send me the next one 📸