2 Which statements are always true regarding the diagram? Select three options. Om25+ m23=m24 Om23+m24+ m25= 180° Om25+ m26 =180° Om22+m23=mZ6 Omz2+mZ3+ m25 = 180°

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
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hi i need the  correct answer to this practice question I found online plz 

### Diagram: Angles in Intersecting Lines

**Description:**
The diagram on the left features intersecting lines forming various angles labeled \( \angle 1 \), \( \angle 2 \), \( \angle 3 \), \( \angle 4 \), \( \angle 5 \), and \( \angle 6 \). There are arrows indicating the direction of the lines, suggesting they extend indefinitely.

**Questions:**
Which statements are **always** true regarding the diagram? Select **three** options.

- \(\boxed{ } \, m \angle 5 + m \angle 3 = m \angle 4\)
- \(\boxed{ } \, m \angle 3 + m \angle 4 + m \angle 5 = 180^\circ\)
- \(\boxed{ } \, m \angle 5 + m \angle 6 = 180^\circ\)
- \(\boxed{ } \, m \angle 2 + m \angle 3 = m \angle 6\) 
- \(\boxed{ } \, m \angle 2 + m \angle 3 + m \angle 5 = 180^\circ\)

**Guidance:**
To solve the problem, identify and apply the geometric properties of intersecting lines, such as supplementary angles and vertical angles, and determine which equations represent consistent truths in geometry.
Transcribed Image Text:### Diagram: Angles in Intersecting Lines **Description:** The diagram on the left features intersecting lines forming various angles labeled \( \angle 1 \), \( \angle 2 \), \( \angle 3 \), \( \angle 4 \), \( \angle 5 \), and \( \angle 6 \). There are arrows indicating the direction of the lines, suggesting they extend indefinitely. **Questions:** Which statements are **always** true regarding the diagram? Select **three** options. - \(\boxed{ } \, m \angle 5 + m \angle 3 = m \angle 4\) - \(\boxed{ } \, m \angle 3 + m \angle 4 + m \angle 5 = 180^\circ\) - \(\boxed{ } \, m \angle 5 + m \angle 6 = 180^\circ\) - \(\boxed{ } \, m \angle 2 + m \angle 3 = m \angle 6\) - \(\boxed{ } \, m \angle 2 + m \angle 3 + m \angle 5 = 180^\circ\) **Guidance:** To solve the problem, identify and apply the geometric properties of intersecting lines, such as supplementary angles and vertical angles, and determine which equations represent consistent truths in geometry.
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