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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![### Geometry Problems
#### Problem 20
Find the value of \( x \) if \( m\widehat{AB} = 59^\circ \) and \( m\widehat{CD} = 47^\circ \).
#### Problem 21
Given \( m\widehat{SQ} = 106^\circ \) and \( m\widehat{PR} = 120^\circ \), find \( x \).
**Diagram:**
A circle is drawn with four points: S, Q, P, and R. The diagram is not drawn to scale. There are two intersecting lines inside the circle: SQ and PR, which intersect at point X.
**Choices:**
a. \( 113^\circ \)
b. \( 134^\circ \)
c. \( 226^\circ \)
d. \( 67^\circ \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4223858f-1e23-424f-9fe0-f203299b939c%2Fa4620125-9df8-4409-9800-dd9ea8446d59%2Falno0ns.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry Problems
#### Problem 20
Find the value of \( x \) if \( m\widehat{AB} = 59^\circ \) and \( m\widehat{CD} = 47^\circ \).
#### Problem 21
Given \( m\widehat{SQ} = 106^\circ \) and \( m\widehat{PR} = 120^\circ \), find \( x \).
**Diagram:**
A circle is drawn with four points: S, Q, P, and R. The diagram is not drawn to scale. There are two intersecting lines inside the circle: SQ and PR, which intersect at point X.
**Choices:**
a. \( 113^\circ \)
b. \( 134^\circ \)
c. \( 226^\circ \)
d. \( 67^\circ \)
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