what is the value of x 140 degrees  (7x - 23) degrees

To find the value of \(x\), we start by understanding that the sum of the angles is given as \(140\) degrees. The problem states that one angle is \(140\) degrees and the other angle is \((7x - 23)\) degrees. If these two angles form a straight line or are supplementary, their sum will be \(180\) degrees.

Let's set up the equation:

\[
140 + (7x - 23) = 180
\]

Now, simplify and solve for \(x\):

1. Combine like terms:

   \[
   140 + 7x - 23 = 180
   \]

   \[
   7x + 117 = 180
   \]

2. Subtract 117 from both sides:

   \[
   7x = 63
   \]

3. Divide by 7:

   \[
   x = 9
   \]

So, the value of \(x\) is \(9\).

Would you like more details or have any questions? Here are some related questions you might find interesting:

1. What is the relationship between angles when they are supplementary?
2. How do you solve equations with variables on both sides?
3. What are complementary angles, and how are they different from supplementary angles?
4. How do you check your answer when solving for \(x\) in an equation?
5. How do linear pairs of angles work in geometry?

**Tip:** When dealing with angles on a straight line, always remember they add up to 180 degrees.

what is the value of x 140 degrees (7x - 23) degrees

Discover how to find the value of x when given two supplementary angles: 140 degrees and (7x - 23) degrees. This problem explores algebraic manipulation, the concept of supplementary angles, and the application of basic linear equations. Suitable for students in Grades 6-8.

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