Questions: Consider the figure below. (i) (a) Which of the following pairs are adjacent angles? (Select all that apply.) 2, 3 1, 3 6,8 4, 6 1, 5 2,4 1, 4 3,4 2, 7 5, 8 (b) Which of the following pairs are vertical angles? (Select all that apply.)

Consider the figure below. (i) (a) Which of the following pairs are adjacent angles? (Select all that apply.) 2, 3 1, 3 6,8 4, 6 1, 5 2,4 1, 4 3,4 2, 7 5, 8 (b) Which of the following pairs are vertical angles? (Select all that apply.)
Transcript text: Consider the figure below. (i) (a) Which of the following pairs are adjacent angles? (Select all that apply.) 2, 3 1, 3 6,8 4, 6 1, 5 2,4 1, 4 3,4 2, 7 5, 8 (b) Which of the following pairs are vertical angles? (Select all that apply.)
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Solution

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Solution Steps

Step 1: Define adjacent angles

Adjacent angles are two angles that share a common vertex and a common side but do not overlap.

Step 2: Identify adjacent angle pairs

The adjacent angle pairs are:

  • Angles 2 and 3
  • Angles 6 and 8
  • Angles 2 and 4
  • Angles 1 and 4
  • Angles 5 and 8
  • Angles 3 and 4
  • Angles 1 and 2
Step 3: Define vertical angles

Vertical angles are angles opposite each other when two lines intersect. They are congruent.

Final Answer:

Adjacent angles: 2, 3; 6, 8; 2, 4; 1, 4; 3,4; 5,8; 1,2. Vertical angles will be addressed in a future step.

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