Solve for y. The top figure is a kite, and the bottom figure is a trapezoid. 22° + 137° y

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
Question
**Problem Statement:**

Solve for \( y \). The top figure is a kite, and the bottom figure is a trapezoid.

**Diagram Explanation:**

In the provided image, there are two shapes: a kite (top) and a trapezoid (bottom). 

1. **Kite:**
   - The kite has two pairs of adjacent sides that are equal in length, indicated by identical markings on the sides.
   - One angle inside the kite is labeled \( 22^\circ \).
   - Another angle inside the kite is labeled \( 137^\circ \).
   - The angle labeled \( x \) is also shown in the kite.

2. **Trapezoid:**
   - The trapezoid shares a side with the kite.
   - It has a pair of equal-length sides, indicated by identical markings on the two non-parallel sides.
   - The angles at the ends of the longer base are labeled with \( y \). 

The task is likely to involve using geometrical properties of kites and trapezoids to find the value of \( y \) based on the given angles and equal sides.
Transcribed Image Text:**Problem Statement:** Solve for \( y \). The top figure is a kite, and the bottom figure is a trapezoid. **Diagram Explanation:** In the provided image, there are two shapes: a kite (top) and a trapezoid (bottom). 1. **Kite:** - The kite has two pairs of adjacent sides that are equal in length, indicated by identical markings on the sides. - One angle inside the kite is labeled \( 22^\circ \). - Another angle inside the kite is labeled \( 137^\circ \). - The angle labeled \( x \) is also shown in the kite. 2. **Trapezoid:** - The trapezoid shares a side with the kite. - It has a pair of equal-length sides, indicated by identical markings on the two non-parallel sides. - The angles at the ends of the longer base are labeled with \( y \). The task is likely to involve using geometrical properties of kites and trapezoids to find the value of \( y \) based on the given angles and equal sides.
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