Find MZLMN. P. 23 N. 85° M

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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The image presents a geometry problem that asks you to find the measure of angle \( \angle LMN \).

### Diagram Explanation:

- The diagram shows four points, labeled \( L \), \( M \), \( N \), and \( P \), with lines extending from each.
- There are angles at point \( M \) where lines \( \overline{ML} \), \( \overline{MN} \), and \( \overline{MP} \) intersect.
- The angle \( \angle LMP \) is labeled as \( 85^\circ \).
- The angle \( \angle PMN \) is labeled as \( 23^\circ \).

### Task:

- To find the measure of \( \angle LMN \), you add the measures of angles \( \angle LMP \) and \( \angle PMN \).
  
Thus, \( m\angle LMN = 85^\circ + 23^\circ = 108^\circ \).
Transcribed Image Text:The image presents a geometry problem that asks you to find the measure of angle \( \angle LMN \). ### Diagram Explanation: - The diagram shows four points, labeled \( L \), \( M \), \( N \), and \( P \), with lines extending from each. - There are angles at point \( M \) where lines \( \overline{ML} \), \( \overline{MN} \), and \( \overline{MP} \) intersect. - The angle \( \angle LMP \) is labeled as \( 85^\circ \). - The angle \( \angle PMN \) is labeled as \( 23^\circ \). ### Task: - To find the measure of \( \angle LMN \), you add the measures of angles \( \angle LMP \) and \( \angle PMN \). Thus, \( m\angle LMN = 85^\circ + 23^\circ = 108^\circ \).
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