What are the answers to these, for number 23 I need to answer it as a statement and reason proof. Any help would be great! thank u sm ### Explanation of the Diagrams and Problems#### Problem 22**Description:** The diagram consists of a set of lines and points labeled as \( A, B, C, D, \) and \( E \). Points \( A, B, \) and \( C \) are collinear, with \( AC \) and \( BC \) marked with congruent segments. Two additional lines, \( CE \) and \( CD \), form angles 1, 2, and 3 with the line \( AB \).**Questions and Analysis:**a. **Is \( \overline{AB} \cong \overline{BC} \)?** - *Explanation Required:* Determine if line segments \( AB \) and \( BC \) are congruent given the markings in the diagram.b. **Is \( \angle 3 \) a right angle?** - *Explanation Required:* Determine if angle 3, formed between \( AC \) and \( CE \), is a right angle based on the diagram.#### Problem 23**Description:** The diagram consists of multiple lines intersecting at point \( O \), forming several angles labeled from 1 to 4. Lines \( \overline{OA} \) and \( \overline{OB} \) are perpendicular to lines \( \overline{CD} \) and \( \overline{XY} \) respectively. The task is to prove that angle measures \( m \angle 1 = m \angle 3 \).**Given:**- \( \overline{OA} \perp \overline{CD} \)- \( \overline{OB} \perp \overline{XY} \)**Prove:** \( m \angle 1 = m \angle 3 \)#### Problem 20**Description:** The diagram shows a triangle \( \triangle AEC \), where \( \angle AEC \) is congruent to \( \angle DEB \). The triangle is segmented into angles 1, 2, and 3.**Given:**- \( \angle AEC \cong \angle DEB \)- \( m \angle 1 = x + 7 \)- \( m \angle 3 = 2x - 27 \)**Find:** \( m \angle 1 \)**Instructions:**- Solve for **Vertical Angles Theorem Exploration****Problem Statement:**24. Use the diagram to write the vertical angles theorem.**Given:**Line AC intersects line BD at point E.**Prove:**\(\angle AED \cong \angle CEB\)**Diagram Explanation:**In the diagram, two lines AC and BD intersect at point E, forming four angles around point E. The angles \(\angle AED\) and \(\angle CEB\) are opposite each other. The goal is to prove that these two angles are congruent, which is an application of the Vertical Angles Theorem. **Understanding the Diagram:**- **Points**: A, B, C, D, and E are the key points in the diagram.- **Lines**: Line AC is a straight line passing through point E extending between points A and C. Line BD is another straight line passing through point E extending between points B and D.- **Intersection**: The lines intersect at point E, creating vertical angles at this intersection.By exploring this intersection, students can learn about the properties of vertical angles and their congruence.

Name: What are the answers to these, for number 23 I need to answer it as a
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Description: What are the answers to these, for number 23 I need to answer it as a statement and reason proof. Any help would be great! thank u sm ### Explanation of the Diagrams and Problems#### Problem 22**Description:** The diagram consists of a set of lines a

Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Answered: 23) Given: Diagram as shown. XX T80…

Math

Advanced Math

23) Given: Diagram as shown. XX T80 Prove: mz1=m23 Reasons Statements

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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