Question
Solve for x.
120 degrees
4x-8
32 degrees
(1 point)
Responses
9
9
17
17
10
10
24
120 degrees
4x-8
32 degrees
(1 point)
Responses
9
9
17
17
10
10
24
Answers
GPT-4o mini
To solve for \( x \), we first need to establish a relationship between the angles provided. It looks like you have three measures: 120 degrees, \( 4x - 8 \), and 32 degrees. We can set up an equation if we assume that these angles form a linear relationship (such as being supplementary).
Assuming that these angles are supplementary (sum to 180 degrees), we can write the equation:
\[
120 + (4x - 8) + 32 = 180
\]
Now, let's combine and simplify the equation:
1. Combine the constants:
\[
120 + 32 - 8 = 144
\]
2. Substitute back into the equation:
\[
4x + 144 = 180
\]
3. Now, isolate \( 4x \):
\[
4x = 180 - 144
\]
\[
4x = 36
\]
4. Finally, divide by 4 to solve for \( x \):
\[
x = \frac{36}{4} = 9
\]
So the value of \( x \) is **9**.
Assuming that these angles are supplementary (sum to 180 degrees), we can write the equation:
\[
120 + (4x - 8) + 32 = 180
\]
Now, let's combine and simplify the equation:
1. Combine the constants:
\[
120 + 32 - 8 = 144
\]
2. Substitute back into the equation:
\[
4x + 144 = 180
\]
3. Now, isolate \( 4x \):
\[
4x = 180 - 144
\]
\[
4x = 36
\]
4. Finally, divide by 4 to solve for \( x \):
\[
x = \frac{36}{4} = 9
\]
So the value of \( x \) is **9**.