Question```latex
\text{Determine which figure shows vertical angles.} \\
\text{a)} \\
\text{b)} \\
\text{c)} \\
\text{d)} \\
\text{e)} \\
\text{f)} \\
\text{Figure } \square \text{ shows vertical angles.}
```
Studdy Solution
STEP 1
1. Vertical angles are the angles opposite each other when two lines intersect.
2. We are looking for pairs of angles that are equal and opposite at the intersection of two lines.
STEP 2
1. Identify intersecting lines.
2. Determine if vertical angles are formed.
STEP 3
Review each figure labeled a) to f) to identify which ones have two lines intersecting. Vertical angles can only be formed when two lines intersect.
STEP 4
Figures b), c), d), and e) show two lines intersecting. These are the figures to consider further for vertical angles.
STEP 5
For each of the figures b), c), d), and e), check if there are pairs of angles that are opposite each other at the intersection point. These opposite angles should be equal in measure.
STEP 6
Upon examining:
- Figure b) shows two lines intersecting, forming two pairs of vertical angles.
- Figure c) shows two lines intersecting, forming two pairs of vertical angles.
- Figure d) shows two lines intersecting, forming two pairs of vertical angles.
- Figure e) shows two lines intersecting, forming two pairs of vertical angles.
The figures that show vertical angles are:
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