Question

Which angles are vertical angles in the figure shown? Select all that apply.

A. <1 and <2
B. <2 and <3
C. <5 and <8
D. <6 and <7
E. <4 and <5
F. <7 and <8

Answer 1

To determine which angles are vertical angles, we need to identify pairs of angles that are formed by two intersecting lines. Vertical angles are opposite each other when two lines cross, and they are equal in measure.

Here’s a breakdown of how to find vertical angles in the given options:

- **A. <1 and <2:** These angles are not vertical angles; they are adjacent.
- **B. <2 and <3:** These angles are not vertical angles; they are also adjacent.
- **C. <5 and <8:** These angles could be vertical angles if they are opposite each other at the intersection.
- **D. <6 and <7:** These angles are likely vertical angles if they are opposite each other.
- **E. <4 and <5:** These angles are not vertical angles; they are adjacent.
- **F. <7 and <8:** These angles are not vertical angles; they could be adjacent.

The vertical angles depend on the configuration of the figure. You would select C and D if <5 and <8, and <6 and <7 are indeed opposite each other. If you can visualize or provide more specifics about the figure, we could confirm the correct pairs. However, generally, vertical angles come in pairs of opposite angles at an intersection.

So, assuming typical configurations, you would select:
- **C. <5 and <8**
- **D. <6 and <7**

Please verify this against the figure you have.