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 given angle and its relationship with angle a. The angle given as 120^ is in the position of angle d. Angles a and d are adjacent angles on a straight line, so their sum is 180^. a + d = 180^ a + 120^ = 180^ Step 2: Calculate the value of a. a = 180^ - 120^ a = 60^ Step 3: Identify the relationship between angle b and angle d. Angles b and d are vertically opposite angles. Vertically opposite angles are equal. b = d b = 120^ Step 4: Identify the relationship between angle c and angle a. Angles c and a are vertically opposite angles. Vertically opposite angles are equal. c = a c = 60^ The values are: a = 60^ b = 120^ c = 60^ d = 120^ Drop the next question.