Here are the correct classifications for each angle pair based on the definitions:
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Complementary (C): Angles add up to 90°.
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Supplementary (S): Angles add up to 180°.
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Vertical (V): Opposite angles formed by intersecting lines.
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Adjacent (A): Angles that share a common side and vertex.
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Linear Pair (LP): Adjacent angles that form a straight line (add to 180°).
Step-by-step Analysis:
1.
Adjacent (A): The angles share a vertex and a side. They do not add to a specific sum visually, nor are they vertical.
2.
Vertical (V): The angles are opposite each other where two lines cross.
3.
Linear Pair (LP) / Supplementary (S): The angles are adjacent and form a straight line. This means they are a linear pair, which also makes them supplementary.
4.
Vertical (V): The angles are opposite each other at an intersection.
5.
Complementary (C) / Adjacent (A): The square symbol indicates a 90° right angle. The two marked angles fit inside it, so they add to 90° (complementary). They also share a side (adjacent).
6.
Vertical (V): The angles are opposite each other at an intersection.
7.
Complementary (C): The measures are given as $72^\circ$ and $18^\circ$. Since $72 + 18 = 90$, they are complementary. They are not adjacent because they don't touch.
8.
Adjacent (A): The angles share a vertex and a side. They do not form a straight line or a right angle together.
9.
Linear Pair (LP) / Supplementary (S): The angles are adjacent and sit on a straight line.
10.
Linear Pair (LP) / Supplementary (S): The angles are adjacent and sit on a straight line.
11.
Vertical (V): The angles are opposite each other at an intersection.
12.
Supplementary (S): The measures are $50^\circ$ and $130^\circ$. Since $50 + 130 = 180$, they are supplementary. They are not adjacent because they are separate figures.
Final Answer:
1. A
2. V
3. LP, S
4. V
5. C, A
6. V
7. C
8. A
9. LP, S
10. LP, S
11. V
12. S
Parent Tip: Review the logic above to help your child master the concept of angle pair relationships worksheet answers.
