WXYZ in shown. 39 3.2 26 W What is mzXWZ? A. 115 B 52 C. 65* D. not enough information

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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### Geometry Problem: Quadrilateral WXYZ

Here we have a quadrilateral \( WXYZ \) along with some specific angles and lengths provided within the shape. An illustration of the quadrilateral is shown, where the following details are highlighted:

- \( \angle XWY \) and \( \angle WYX \) are annotated with the measures \( 38^\circ \) and \( 26^\circ \) respectively.
- \( WX = WZ \), indicated by the equal-length marks on sides \( WX \) and \( WZ \).
- \( XM \) and \( MY \) intersect at point \( M \) within the quadrilateral.
- Side \( XY \) is given as 3.2 units in length.
- The quadrilateral features internal lines from \( X \) to \( Y \) and \( W \) to \( Z \).

The problem asks: **What is \( m\angle XWZ \)?**

#### Answer Choices:
- **A. 115°**
- **B. 52°**
- **C. 65°**
- **D. not enough information**

#### Detailed Diagram Description:
The diagram is a visual representation of the quadrilateral \( WXYZ \) which includes specific angles and a sides' length (3.2 units) between points \( X \) and \( Y \). The point \( M \) is inside the quadrilateral, formed by the intersection of lines \( XM \) and \( MY \). The problem's goal is to determine the measure of angle \( XWZ \).

When analyzing this problem, the key aspect is to use the given angles and the properties of the quadrilateral to find the missing angle \( m\angle XWZ \). This might involve deductive reasoning using triangle properties or other geometric principles.

This exercise helps in understanding quadrilateral properties and angle relationships.

Feel free to work on this problem and select the best answer from the provided choices.
Transcribed Image Text:### Geometry Problem: Quadrilateral WXYZ Here we have a quadrilateral \( WXYZ \) along with some specific angles and lengths provided within the shape. An illustration of the quadrilateral is shown, where the following details are highlighted: - \( \angle XWY \) and \( \angle WYX \) are annotated with the measures \( 38^\circ \) and \( 26^\circ \) respectively. - \( WX = WZ \), indicated by the equal-length marks on sides \( WX \) and \( WZ \). - \( XM \) and \( MY \) intersect at point \( M \) within the quadrilateral. - Side \( XY \) is given as 3.2 units in length. - The quadrilateral features internal lines from \( X \) to \( Y \) and \( W \) to \( Z \). The problem asks: **What is \( m\angle XWZ \)?** #### Answer Choices: - **A. 115°** - **B. 52°** - **C. 65°** - **D. not enough information** #### Detailed Diagram Description: The diagram is a visual representation of the quadrilateral \( WXYZ \) which includes specific angles and a sides' length (3.2 units) between points \( X \) and \( Y \). The point \( M \) is inside the quadrilateral, formed by the intersection of lines \( XM \) and \( MY \). The problem's goal is to determine the measure of angle \( XWZ \). When analyzing this problem, the key aspect is to use the given angles and the properties of the quadrilateral to find the missing angle \( m\angle XWZ \). This might involve deductive reasoning using triangle properties or other geometric principles. This exercise helps in understanding quadrilateral properties and angle relationships. Feel free to work on this problem and select the best answer from the provided choices.
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