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
Related questions
Question
How do I find x in the bottom left problem?
![The image depicts several geometry problems involving circles and angles, with handwritten solutions.
### Problem Explanations:
**Problem 26:**
- A circle with an inscribed angle of 90°.
- The calculated angle \( x = 150^\circ \) is noted.
**Problem 27:**
- A circle with several intersecting lines:
- An inscribed angle marked as \( 118^\circ \).
- Another intersecting angle is marked \( 24^\circ \).
- The calculation is shown:
\[
24 = \frac{1}{2}(118 - ?)
\]
- Further calculations reveal \( ? = 70 \) and \( x = 94^\circ \).
**Problem 28:**
- A circle with angles:
- An inscribed angle marked \( 138^\circ \).
- A triangle forms with angles \( 26^\circ \) and \( ? \).
- Calculations are:
\[
26 = \frac{1}{2}(138 - ?)
\]
- Resulting in \( ? = 86 \).
**Problem 29:**
- Two intersecting circles with a common line:
- Angles marked as \( 160^\circ \) and \( 200^\circ \).
- Unknown angle \( x^\circ \) possibly calculated in relation to given angles.
**Problem 30:**
- A configuration involving two circles and lines connecting them:
- Given angles: \( 140^\circ \), \( 200^\circ \), and \( 220^\circ \).
- Unknown angle \( x^\circ \) calculated from given information.
**Name Section:**
- At the bottom, "Name: Charlie" is written.
This sheet likely illustrates concepts of angles, particularly in circles, using geometry theorems involving inscribed and central angles. The calculations demonstrate problem-solving steps for finding unknown angles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F781507af-9ad7-4313-9940-3d7645c4ba63%2Fc165750f-008c-43b6-9fda-60a30b0b2a49%2Fyri6nh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image depicts several geometry problems involving circles and angles, with handwritten solutions.
### Problem Explanations:
**Problem 26:**
- A circle with an inscribed angle of 90°.
- The calculated angle \( x = 150^\circ \) is noted.
**Problem 27:**
- A circle with several intersecting lines:
- An inscribed angle marked as \( 118^\circ \).
- Another intersecting angle is marked \( 24^\circ \).
- The calculation is shown:
\[
24 = \frac{1}{2}(118 - ?)
\]
- Further calculations reveal \( ? = 70 \) and \( x = 94^\circ \).
**Problem 28:**
- A circle with angles:
- An inscribed angle marked \( 138^\circ \).
- A triangle forms with angles \( 26^\circ \) and \( ? \).
- Calculations are:
\[
26 = \frac{1}{2}(138 - ?)
\]
- Resulting in \( ? = 86 \).
**Problem 29:**
- Two intersecting circles with a common line:
- Angles marked as \( 160^\circ \) and \( 200^\circ \).
- Unknown angle \( x^\circ \) possibly calculated in relation to given angles.
**Problem 30:**
- A configuration involving two circles and lines connecting them:
- Given angles: \( 140^\circ \), \( 200^\circ \), and \( 220^\circ \).
- Unknown angle \( x^\circ \) calculated from given information.
**Name Section:**
- At the bottom, "Name: Charlie" is written.
This sheet likely illustrates concepts of angles, particularly in circles, using geometry theorems involving inscribed and central angles. The calculations demonstrate problem-solving steps for finding unknown angles.
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