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: Understand the angles formed by parallel lines and a transversal. When two parallel lines are cut by a transversal, a total of eight angles are formed. These angles will either be equal to the given angle or supplementary to it. Step 2: Calculate the supplementary angle. Given one angle is 75^. The angles that are supplementary to it will add up to 180^. 180^ - 75^ = 105^ So, the other type of angle formed is 105^. Step 3: Determine the number of 105^ angles. Out of the eight angles formed, four will be equal to the given angle (75^), and the other four will be equal to its supplementary angle (105^). This is because there are two sets of vertically opposite angles at each intersection, and corresponding angles are equal. Therefore, there are 4 angles of 105^ formed. The number of angles of 105^ formed is 4. Send me the next one 📸