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
Please answer the attached
![### Geometry: Angle Measurement
#### Problem Statement:
**Given:**
If \( x = 34^\circ \), find the measure of the angle in which \( ?^\circ \) appears.
#### Diagram Description:
To the right of the problem statement, there is a diagram showing an angle \( x \) and a second angle labeled as \( ?^\circ \). The angles are depicted such that they together make a right angle (90°).
#### Solution:
1. Recognize that the right angle (90°) is composed of two smaller angles: \( x \) and \( ?^\circ \).
2. Since \( x = 34^\circ \), the equation to find \( ?^\circ \) is:
\[
90^\circ = x + ?^\circ
\]
3. Substituting \( x \) with its given value:
\[
90^\circ = 34^\circ + ?^\circ
\]
4. Solving for \( ?^\circ \):
\[
?^\circ = 90^\circ - 34^\circ = 56^\circ
\]
#### Answer:
The measure of the angle in which \( ?^\circ \) appears is:
```markdown
56°
```
Note: The diagram shown helps visualize that the given angle \( x \) and the unknown angle \( ?^\circ \) together form a right angle, emphasizing the complementary nature of the angles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F53720033-a951-4ae5-a01c-3ddb6de50667%2Ff9812e4e-6d5d-4f42-8ea9-073ea519cfe9%2Fnvr7dpb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry: Angle Measurement
#### Problem Statement:
**Given:**
If \( x = 34^\circ \), find the measure of the angle in which \( ?^\circ \) appears.
#### Diagram Description:
To the right of the problem statement, there is a diagram showing an angle \( x \) and a second angle labeled as \( ?^\circ \). The angles are depicted such that they together make a right angle (90°).
#### Solution:
1. Recognize that the right angle (90°) is composed of two smaller angles: \( x \) and \( ?^\circ \).
2. Since \( x = 34^\circ \), the equation to find \( ?^\circ \) is:
\[
90^\circ = x + ?^\circ
\]
3. Substituting \( x \) with its given value:
\[
90^\circ = 34^\circ + ?^\circ
\]
4. Solving for \( ?^\circ \):
\[
?^\circ = 90^\circ - 34^\circ = 56^\circ
\]
#### Answer:
The measure of the angle in which \( ?^\circ \) appears is:
```markdown
56°
```
Note: The diagram shown helps visualize that the given angle \( x \) and the unknown angle \( ?^\circ \) together form a right angle, emphasizing the complementary nature of the angles.
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