Can someone help me with (2) ? ### Geometry Example ProblemsThis section includes example problems related to angles and their measures in various diagrams.#### Problem 2:The first diagram depicts two intersecting lines forming angles at point O. Here are the details given in the diagram for Problem 2:- The diagram shows a right angle at point O on the left side, indicating it is part of a larger geometric configuration.- There is an angle labeled \( (45 - x)^\circ \) near the intersection of the two lines.- Another angle is labeled \( (2x + 30)^\circ \) near the intersection with point O.- A segment is marked with a length of 5 units.*Example Problem***Find the value of \( x \).**#### Problem 4:The second diagram for Problem 4 shows more complex geometry:- Various lines intersect; labeled points J and M are shown.- Angles are annotated with algebraic expressions: \( (10y + 60)^\circ \) and \( (2x)^\circ \).Additionally, provided information and instruction is:- A line segment \( \overline{B} \) bisects \( \angle AOC \).- It asks for the measure \( m \angle AOC \).*Instructions for Solving:*1. Identify the relationships between the angles.2. Use algebra to express these relationships.3. Solve for the variables \( x \) and \( y \) as required.4. Use the found values of variables to calculate the specific angle measures.### Tips:- Remember the properties of vertical angles, supplementary angles, and the sum of angles around a point.- Utilize algebraic manipulation to solve for the unknowns.- Make sure to double-check your calculated angle measures to ensure they adhere to geometric rules.For further study, attempt to apply these methods to similar problems and verify your solutions for accuracy.

Answered: 2 (45-x) 开 (2x +30) 于 5

Math

Geometry

2 (45-x) 开 (2x +30) 于 5

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Can someone help me with (2) ?

### Geometry Example Problems

This section includes example problems related to angles and their measures in various diagrams.

#### Problem 2:

The first diagram depicts two intersecting lines forming angles at point O. Here are the details given in the diagram for Problem 2:

- The diagram shows a right angle at point O on the left side, indicating it is part of a larger geometric configuration.
- There is an angle labeled \( (45 - x)^\circ \) near the intersection of the two lines.
- Another angle is labeled \( (2x + 30)^\circ \) near the intersection with point O.
- A segment is marked with a length of 5 units.

*Example Problem*
**Find the value of \( x \).**

#### Problem 4:

The second diagram for Problem 4 shows more complex geometry:

- Various lines intersect; labeled points J and M are shown.
- Angles are annotated with algebraic expressions: \( (10y + 60)^\circ \) and \( (2x)^\circ \).

Additionally, provided information and instruction is:
- A line segment \( \overline{B} \) bisects \( \angle AOC \).
- It asks for the measure \( m \angle AOC \).

*Instructions for Solving:*
1. Identify the relationships between the angles.
2. Use algebra to express these relationships.
3. Solve for the variables \( x \) and \( y \) as required.
4. Use the found values of variables to calculate the specific angle measures.

### Tips:
- Remember the properties of vertical angles, supplementary angles, and the sum of angles around a point.
- Utilize algebraic manipulation to solve for the unknowns.
- Make sure to double-check your calculated angle measures to ensure they adhere to geometric rules.

For further study, attempt to apply these methods to similar problems and verify your solutions for accuracy.

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