3) c 60° D E

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
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Please answer question #3

**Trapezoid Angle Problems**

Find the length of the angle indicated for each trapezoid.

1) Trapezoid SRQP:
   - Angle \( \angle SRQ = 65^\circ \)
   - Angle \( \angle QRP = ? \)

2) Trapezoid UVTS:
   - Angle \( \angle UTS = 92^\circ \)
   - Angle \( \angle VSU = ? \)

3) Trapezoid CDEF (Isosceles Trapezoid):
   - Angle \( \angle CDF = 60^\circ \)
   - Angle \( \angle DEF = ? \)

4) Trapezoid YVWX (Isosceles Trapezoid):
   - Angle \( \angle YVW = 70^\circ \)
   - Angle \( \angle XWV = ? \)

**Diagram Explanation:**

- Each diagram represents a trapezoid, a quadrilateral with only one pair of parallel sides.
- In diagrams 3 and 4, the trapezoids are isosceles, indicated by the lines marked with small ticks, showing that the non-parallel sides are equal in length.
- The interior angles are denoted by their degree measures, with one angle given and the other marked with a question mark to indicate it needs to be determined.
Transcribed Image Text:**Trapezoid Angle Problems** Find the length of the angle indicated for each trapezoid. 1) Trapezoid SRQP: - Angle \( \angle SRQ = 65^\circ \) - Angle \( \angle QRP = ? \) 2) Trapezoid UVTS: - Angle \( \angle UTS = 92^\circ \) - Angle \( \angle VSU = ? \) 3) Trapezoid CDEF (Isosceles Trapezoid): - Angle \( \angle CDF = 60^\circ \) - Angle \( \angle DEF = ? \) 4) Trapezoid YVWX (Isosceles Trapezoid): - Angle \( \angle YVW = 70^\circ \) - Angle \( \angle XWV = ? \) **Diagram Explanation:** - Each diagram represents a trapezoid, a quadrilateral with only one pair of parallel sides. - In diagrams 3 and 4, the trapezoids are isosceles, indicated by the lines marked with small ticks, showing that the non-parallel sides are equal in length. - The interior angles are denoted by their degree measures, with one angle given and the other marked with a question mark to indicate it needs to be determined.
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