1. The problem asks which pairs of angles can be adjacent angles.
2. Adjacent angles share a common side and vertex, and their measures add up to less than or equal to 180° because they form a straight line or part of it.
3. We check each pair by adding their measures:
A) $42^\circ + 48^\circ = 90^\circ$ which is less than 180°, so they can be adjacent.
B) Same as A, so they can be adjacent.
C) $105^\circ + 73^\circ = 178^\circ$ which is less than 180°, so they can be adjacent.
D) $95^\circ + 80^\circ = 175^\circ$ which is less than 180°, so they can be adjacent.
4. However, the problem states "acute angles" which means angles less than 90°.
5. Check which angles are acute:
- 42° and 48° are acute.
- 105° is not acute.
- 73° is acute.
- 95° is not acute.
- 80° is acute.
6. So only pairs with both angles acute can be adjacent acute angles.
7. Therefore, only pair A (42° and 48°) consists of two acute angles and can be adjacent.
Final answer: A) A 42° angle and a 48° angle can be adjacent angles.
Adjacent Angles B58E04
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