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.
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Step 1: Identify the given angle and its relationship with angle . The angle given as is in the position of angle . Angles and are adjacent angles on a straight line, so their sum is .
Step 2: Calculate the value of .
Step 3: Identify the relationship between angle and angle . Angles and are vertically opposite angles. Vertically opposite angles are equal.
Step 4: Identify the relationship between angle and angle . Angles and are vertically opposite angles. Vertically opposite angles are equal.
The values are:
a = \text{60^\circ}
b = \text{120^\circ}
c = \text{60^\circ}
d = \text{120^\circ}
Drop the next question.
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Identify the given angle and its relationship with angle a. The angle given as 120^ is in the position of angle d.