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Mathematics

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60\text{60}^\circ

Step 1: Identify the given angle and its relationship with angle aa. The angle given as 120120^\circ is in the position of angle dd. Angles aa and dd are adjacent angles on a straight line, so their sum is 180180^\circ. a+d=180a + d = 180^\circ a+120=180a + 120^\circ = 180^\circ

Step 2: Calculate the value of aa. a=180120a = 180^\circ - 120^\circ a=60a = 60^\circ

Step 3: Identify the relationship between angle bb and angle dd. Angles bb and dd are vertically opposite angles. Vertically opposite angles are equal. b=db = d b=120b = 120^\circ

Step 4: Identify the relationship between angle cc and angle aa. Angles cc and aa are vertically opposite angles. Vertically opposite angles are equal. c=ac = a c=60c = 60^\circ

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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Quick Answer

Identify the given angle and its relationship with angle a. The angle given as 120^ is in the position of angle d.

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Mathematics

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.