Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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- One angle of the triangle is 142°
- Another angle of the triangle is 68°
- The third angle is labeled as \( z \)
#### Question:
Enter the measure of angle \( z \), in degrees, in the space provided.
#### Answer:
<input type="text" placeholder="Enter angle \( z \)">
<button>Calculator</button>
---
#### Solution:
To find the measure of angle \( z \):
1. Recall that the sum of the interior angles of a triangle is always 180°.
2. So, \( 142° + 68° + z = 180° \).
To solve for \( z \):
\[ z = 180° - 142° - 68° \]
\[ z = 180° - 210° \]
\[ z = 0° \]
Therefore, the measure of angle \( z \) is 0°.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbad5feca-c3bd-4df7-981f-c80db1ec5e89%2Fac585eab-3b00-4877-9825-801f36cbcd7d%2F23k942q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Angle Measurement Exercise
#### Instruction:
Enter the answer in the space provided.
#### Problem Statement:
Consider the figure below:
- One angle of the triangle is 142°
- Another angle of the triangle is 68°
- The third angle is labeled as \( z \)
#### Question:
Enter the measure of angle \( z \), in degrees, in the space provided.
#### Answer:
<input type="text" placeholder="Enter angle \( z \)">
<button>Calculator</button>
---
#### Solution:
To find the measure of angle \( z \):
1. Recall that the sum of the interior angles of a triangle is always 180°.
2. So, \( 142° + 68° + z = 180° \).
To solve for \( z \):
\[ z = 180° - 142° - 68° \]
\[ z = 180° - 210° \]
\[ z = 0° \]
Therefore, the measure of angle \( z \) is 0°.
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