Enter the answer in the space provided. Consider the figure. 68° 142°

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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### Angle Measurement Exercise

#### Instruction:
Enter the answer in the space provided.

#### Problem Statement:
Consider the figure below:

![Triangle with angles](triangle.png)

- 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°.
Transcribed Image Text:### Angle Measurement Exercise #### Instruction: Enter the answer in the space provided. #### Problem Statement: Consider the figure below: ![Triangle with angles](triangle.png) - 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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