1. **Classify angle pair 7 (angles 1 and 2):**
- Given the top-left graph, angles 1 and 2 are vertical angles because they are opposite each other when two lines intersect.
- Vertical angles are always congruent.
- They are not adjacent because they do not share a common side.
- They are not complementary or supplementary unless their measures add to 90° or 180°, which vertical angles do not necessarily do.
2. **Classify angle pair 8 (angles 1 and 2 with \(1 \perp 2\))**
- Given the top-right graph, angles 1 and 2 are adjacent because they share a common side.
- They are complementary because the lines are perpendicular, so the angles add up to 90°.
- They are not vertical angles because vertical angles are opposite each other, not adjacent.
- They are not supplementary because their sum is 90°, not 180°.
- They are not congruent because one is a right angle (90°) and the other is less than 90°.
3. **Determine truth of statements:**
10. "If two angles are congruent, then they are vertical angles."
- This is **sometimes true** because congruent angles can be vertical angles, but they can also be corresponding angles, alternate interior angles, or any angles with the same measure.
11. "Two right angles are complementary angles."
- This is **never true** because two right angles add up to 180°, which is supplementary, not complementary.
12. "If an angle is acute, then its supplement angle is obtuse."
- This is **always true** because an acute angle is less than 90°, so its supplement (adding to 180°) must be greater than 90°, which is obtuse.
Angle Classification D6337E
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