Vertical Angles Worksheets - Free Printable

To solve the problem of identifying vertical angles in each figure, we need to understand what vertical angles are. Vertical angles are pairs of opposite angles formed by two intersecting lines. They are always congruent (equal in measure).

Steps to Identify Vertical Angles:

1. Identify Intersecting Lines: Look for two lines that cross each other.
2. Locate Opposite Angles: The angles that are directly across from each other at the intersection point are vertical angles.
3. Mark the Pairs: Label or note the pairs of vertical angles.

Let's analyze each figure step by step:

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Figure 1:

- Two lines intersect at a point.
- The angles directly across from each other are:
- Angle 1 and Angle 3
- Angle 2 and Angle 4
- Vertical Angles: (1, 3) and (2, 4)

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Figure 2:

- Two lines intersect at a point.
- The angles directly across from each other are:
- Angle A and Angle C
- Angle B and Angle D
- Vertical Angles: (A, C) and (B, D)

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Figure 3:

- Two lines intersect at a point.
- The angles directly across from each other are:
- Angle X and Angle Z
- Angle Y and Angle W
- Vertical Angles: (X, Z) and (Y, W)

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Figure 4:

- Two lines intersect at a point.
- The angles directly across from each other are:
- Angle 5 and Angle 7
- Angle 6 and Angle 8
- Vertical Angles: (5, 7) and (6, 8)

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Figure 5:

- Two lines intersect at a point.
- The angles directly across from each other are:
- Angle P and Angle R
- Angle Q and Angle S
- Vertical Angles: (P, R) and (Q, S)

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Figure 6:

- Two lines intersect at a point.
- The angles directly across from each other are:
- Angle M and Angle O
- Angle N and Angle P
- Vertical Angles: (M, O) and (N, P)

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Final Answer:

The pairs of vertical angles in each figure are:

1. (1, 3) and (2, 4)
2. (A, C) and (B, D)
3. (X, Z) and (Y, W)
4. (5, 7) and (6, 8)
5. (P, R) and (Q, S)
6. (M, O) and (N, P)

$$
\boxed{
\text{1. (1, 3) and (2, 4)} \\
\text{2. (A, C) and (B, D)} \\
\text{3. (X, Z) and (Y, W)} \\
\text{4. (5, 7) and (6, 8)} \\
\text{5. (P, R) and (Q, S)} \\
\text{6. (M, O) and (N, P)}
}
$$