Angle Relationships Worksheet #2 featuring geometric diagrams and questions on angle types and measurements.

It looks like you've uploaded a worksheet titled "Angle Relationships Worksheet #2", which includes problems related to identifying and calculating angles based on geometric relationships (such as vertical angles, complementary angles, supplementary angles, etc.).

Since I can't view images directly, I’ll need you to describe the content of the image or type out the questions from the worksheet so I can help you solve them step by step.

However, based on the visible text in your description, here's what I can infer:

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Section A: Use the diagram to answer the following.

There’s a diagram with intersecting lines forming angles around a point (likely two lines crossing at a point, creating four angles). The angles are labeled with letters such as ∠1, ∠2, etc., or possibly named using points like ∠AOB.

The questions likely ask about:

- Vertical angles: Angles opposite each other when two lines intersect. They are congruent.
- Adjacent angles: Angles that share a common side and vertex.
- Supplementary angles: Two angles that add up to 180°.
- Complementary angles: Two angles that add up to 90°.

Example questions might be:
1. ∠AOD and ___ are vertical angles.
2. ∠AOB and ___ are adjacent angles.
3. ∠BOC and ___ are supplementary angles.
4. ∠AOC and ___ are adjacent angles.

> ✔ To solve: Use definitions:
> - Vertical angles are opposite each other.
> - Adjacent angles share a side and vertex.
> - Supplementary angles sum to 180°.

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Section B: Fill in the correct angle measurement.

This section likely gives you one angle and asks you to find others using relationships.

Examples:
1. What is the complement of a 37° angle? → $ 90^\circ - 37^\circ = 53^\circ $
2. What is the supplement of a 65° angle? → $ 180^\circ - 65^\circ = 115^\circ $
3. If two angles form a linear pair and one is 120°, what is the other? → $ 180^\circ - 120^\circ = 60^\circ $

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Final Question:

> "Find the value of x in the diagram on the right."

This usually involves an equation based on angle relationships. For example:
- Two angles form a straight line: $ x + 50^\circ = 180^\circ $ → $ x = 130^\circ $
- Two angles are vertical: $ x = 40^\circ $
- Or angles in a triangle: $ x + 60^\circ + 70^\circ = 180^\circ $ → $ x = 50^\circ $

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📌 How to Proceed:

Please provide the specific questions or describe the diagram (e.g., “Two lines intersect, forming angles labeled 1, 2, 3, 4. Angle 1 is 50°.”), and I will:

1. Identify the relationships.
2. Solve each problem.
3. Explain step-by-step.

You can type out the full worksheet or describe it clearly — I’m ready to help!