https://file.aiquickdraw.com/mathbot/file/1725416182660bftz8gcc.jpg

To find the value of \( x \) in the given problem, we need to use the concept of angles on a straight line.

### Problem Breakdown:
- The two angles shown are \( 27^\circ \) and \( (8x - 1)^\circ \).
- Since they are on a straight line, the sum of these angles should be equal to \( 180^\circ \).

### Step-by-Step Solution:
1. **Set up the equation**:
   \[
   27^\circ + (8x - 1)^\circ = 180^\circ
   \]

2. **Simplify the equation**:
   \[
   27 + 8x - 1 = 180
   \]
   \[
   8x + 26 = 180
   \]

3. **Solve for \( x \)**:
   \[
   8x = 180 - 26
   \]
   \[
   8x = 154
   \]
   \[
   x = \frac{154}{8}
   \]
   \[
   x = 19.25
   \]

### Final Answer:
\[
x = 19.25
\]

Would you like more details on any part of this solution? 

### Related Questions:
1. What is the sum of angles on a straight line?
2. How do you find the angle between two intersecting lines?
3. Can the value of \( x \) be negative in this context?
4. What are the other properties of angles on parallel lines?
5. How would you solve a similar problem with more than two angles?

### Tip:
Always check the context of the problem when solving for angles. The sum of angles in a straight line must be \( 180^\circ \), which is a key property to remember.

Learn how to solve for x in a linear equation involving angles on a straight line. This step-by-step guide covers key algebraic and geometric concepts, using the formula for the sum of angles on a straight line. Suitable for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation