In the figure shown, t || x and k || w and m23 = 20°. Choose the list which includes all of the other angles that measure 20°. 16 15 13 14 43 11 10 129 56 8 7 O A 1 O B. 1, 5, 7 O C. 1, 14, 16 O D. 1,5, 7,9 , 11, 14, 16

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### Geometry Standards Review

#### Problem:
In the figure shown, \( t \parallel l \) and \( k \parallel w \) and \( m \angle 3 = 20^\circ \). Choose the list which includes all of the other angles that measure \( 20^\circ \).

![Geometric Diagram](image_url)

Throughout the diagram, the following points and angles are marked:
- Lines \( t \) and \( l \) are parallel.
- Lines \( k \) and \( w \) are also parallel.
- The parallel lines intersect each other, creating a series of angles around the intersection points \( X \) and \( Y \).
- Specific angles are labeled with numbers from 1 to 16.

### Diagram Explanation:
A geometric diagram is shown with two sets of parallel lines intersecting. Specific angles formed by these intersections are labeled from 1 to 16. Given \( m \angle 3 = 20^\circ \), we are to determine which other angles in the diagram are also \( 20^\circ \).

The angles labeled are organized as follows:
- Around point \( X \) (this is where lines \( t \) and \( l \) intersect with a transversal line \( k \)):
  - Angles: 1, 2, 3, 4, 13, 14, 15, 16

- Around point \( Y \) (this is where lines \( t \) and \( l \) intersect with a transversal line \( w \)):
  - Angles: 5, 6, 7, 8, 9, 10, 11, 12

### Answer Choices:
A. 1

B. 1, 5, 7

C. 1, 14, 16

D. 1, 5, 7, 9, 11, 14, 16

Given that \( m \angle 3 = 20^\circ \) and knowing the properties of parallel lines and the angles formed by intersecting transversals (alternate interior angles, corresponding angles, etc.), compare the listed angles to determine which ones equal \( 20^\circ \).

**Review Progress**: Please use the given diagram and options to select the accurate list of equivalent angles.
Transcribed Image Text:### Geometry Standards Review #### Problem: In the figure shown, \( t \parallel l \) and \( k \parallel w \) and \( m \angle 3 = 20^\circ \). Choose the list which includes all of the other angles that measure \( 20^\circ \). ![Geometric Diagram](image_url) Throughout the diagram, the following points and angles are marked: - Lines \( t \) and \( l \) are parallel. - Lines \( k \) and \( w \) are also parallel. - The parallel lines intersect each other, creating a series of angles around the intersection points \( X \) and \( Y \). - Specific angles are labeled with numbers from 1 to 16. ### Diagram Explanation: A geometric diagram is shown with two sets of parallel lines intersecting. Specific angles formed by these intersections are labeled from 1 to 16. Given \( m \angle 3 = 20^\circ \), we are to determine which other angles in the diagram are also \( 20^\circ \). The angles labeled are organized as follows: - Around point \( X \) (this is where lines \( t \) and \( l \) intersect with a transversal line \( k \)): - Angles: 1, 2, 3, 4, 13, 14, 15, 16 - Around point \( Y \) (this is where lines \( t \) and \( l \) intersect with a transversal line \( w \)): - Angles: 5, 6, 7, 8, 9, 10, 11, 12 ### Answer Choices: A. 1 B. 1, 5, 7 C. 1, 14, 16 D. 1, 5, 7, 9, 11, 14, 16 Given that \( m \angle 3 = 20^\circ \) and knowing the properties of parallel lines and the angles formed by intersecting transversals (alternate interior angles, corresponding angles, etc.), compare the listed angles to determine which ones equal \( 20^\circ \). **Review Progress**: Please use the given diagram and options to select the accurate list of equivalent angles.
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