Find the measure of each numbered angle and name the theorem that you used to justify your work. ### Transcription and Explanation for Educational Website#### Transcription:14. \( m \angle 5 = m \angle 6 \)#### Diagram Explanation:The image shows a diagram with angles marked as 5 and 6:- There are two lines intersecting at a point forming angles labeled 5 and 6.- The angles are adjacent and form a right angle, indicated by the small red square between them.- The notation \(\angle 5\) and \(\angle 6\) signifies the measures of these angles are equal.This diagram is typically used to demonstrate the concept of congruent angles, often in the context of perpendicular lines.

Answered: Image /qna-images/answer/dad13ca0-9102-446f-a987-3fe48b8804f5.jpg

Answered: 14. m25= m2 6 5 6 15.4 2

Math

Geometry

14. m25= m2 6 5 6 15.4 2

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

Find the measure of each numbered angle and name the theorem that you used to justify your work.

### Transcription and Explanation for Educational Website

#### Transcription:

14. \( m \angle 5 = m \angle 6 \)

#### Diagram Explanation:

The image shows a diagram with angles marked as 5 and 6:

- There are two lines intersecting at a point forming angles labeled 5 and 6.
- The angles are adjacent and form a right angle, indicated by the small red square between them.
- The notation \(\angle 5\) and \(\angle 6\) signifies the measures of these angles are equal.

This diagram is typically used to demonstrate the concept of congruent angles, often in the context of perpendicular lines.

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

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