Answers:
- Vertical angles: 1 and 4
- Adjacent angles: 1 and 2
- Supplementary angles: 3 and 4
Other answers are possible.
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Step-by-step explanation:
Vertical angles form when we intersect two lines to form an X shape. The vertical angles are opposite one another. One pair of vertical angles is angle 1 and angle 4. The other pair is angle 2 and angle 3. Vertical angles are always congruent.
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Adjacent angles are angles that are side by side. They are neighbors. Here are all the possible adjacent angle pairings:
- 1 and 2
- 1 and 3
- 2 and 4
- 3 and 4
Think of these as neighboring apartments that share a common wall.
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Supplementary angles are any two angles that add to 180 degrees.
Gluing these angles gives a straight line.
For this problem any two adjacent angles are supplementary. Refer to the previous section to see the list of all possible supplementary pairs.