Properties of Tsosceici triangis In ALMNI MN LM and m M: 45° Find

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
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**Properties of Isosceles Triangles**

In triangle \( \Delta LMN \), \( MN \cong LN \) and \( m \angle M = 45^\circ \). Find \( \angle L \).

Explanation:
In an isosceles triangle, the base angles are equal. Since \( MN \cong LN \), triangle \( \Delta LMN \) is isosceles with base \( LM \). Given that one of the base angles \( m \angle M \) is 45°, the other base angle \( m \angle L \) must also be 45°.
Transcribed Image Text:**Properties of Isosceles Triangles** In triangle \( \Delta LMN \), \( MN \cong LN \) and \( m \angle M = 45^\circ \). Find \( \angle L \). Explanation: In an isosceles triangle, the base angles are equal. Since \( MN \cong LN \), triangle \( \Delta LMN \) is isosceles with base \( LM \). Given that one of the base angles \( m \angle M \) is 45°, the other base angle \( m \angle L \) must also be 45°.
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