To solve the problem, we need to identify each marked angle pair as complementary (C), supplementary (S), vertical (V), adjacent (A), or linear pair (LP). Let's analyze each image step by step.
Definitions:
1.
Complementary Angles (C): Two angles whose measures add up to 90°.
2.
Supplementary Angles (S): Two angles whose measures add up to 180°.
3.
Vertical Angles (V): Angles opposite each other when two lines intersect.
4.
Adjacent Angles (A): Angles that share a common vertex and a common side but do not overlap.
5.
Linear Pair (LP): Two adjacent angles whose non-common sides form a straight line (sum is 180°).
Analysis of Each Image:
#### 1.
-
Description: Two angles sharing a common vertex and a common side.
-
Type: Adjacent (A)
#### 2.
-
Description: Two angles formed by intersecting lines.
-
Type: Vertical (V)
#### 3.
-
Description: Two angles sharing a common vertex and a common side.
-
Type: Adjacent (A)
#### 4.
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Description: Two angles sharing a common vertex and a common side.
-
Type: Adjacent (A)
#### 5.
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Description: One angle is 90°, and the other is acute.
-
Type: Complementary (C) if the sum is 90°.
#### 6.
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Description: Two angles sharing a common vertex and a common side.
-
Type: Adjacent (A)
#### 7.
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Description: Two angles are given as 72° and 18°.
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Type: Complementary (C) because 72° + 18° = 90°.
#### 8.
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Description: Four angles formed by intersecting lines.
-
Type: Vertical (V) for opposite angles.
#### 9.
-
Description: Two angles sharing a common vertex and a common side.
-
Type: Adjacent (A)
#### 10.
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Description: Two angles sharing a common vertex and a common side, forming a straight line.
-
Type: Linear Pair (LP)
#### 11.
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Description: Four angles formed by intersecting lines.
-
Type: Vertical (V) for opposite angles.
#### 12.
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Description: Two angles are given as 50° and 130°.
-
Type: Supplementary (S) because 50° + 130° = 180°.
Final Answers:
1.
A
2.
V
3.
A
4.
A
5.
C
6.
A
7.
C
8.
V
9.
A
10.
LP
11.
V
12.
S
\boxed{A, V, A, A, C, A, C, V, A, LP, V, S}
Parent Tip: Review the logic above to help your child master the concept of geometry angle relationships worksheet.