Question
solve for x in the diagram below
(6x - 2) degrees
20 degrees
x = __ degrees
(6x - 2) degrees
20 degrees
x = __ degrees
Answers
GPT-4o mini
To solve for \( x \), we need to set up an equation based on the given angles. However, since there is no diagram provided, I'll assume that the angles are relevant to a straight line or triangle configuration based on common problems.
If the angles \( (6x - 2)^\circ \) and \( 20^\circ \) are supplementary (add up to \( 180^\circ \)), the equation would be:
\[
(6x - 2) + 20 = 180
\]
Now, let's solve the equation step by step.
1. Combine like terms:
\[
6x - 2 + 20 = 180
\]
\[
6x + 18 = 180
\]
2. Isolate \( 6x \) by subtracting \( 18 \) from both sides:
\[
6x = 180 - 18
\]
\[
6x = 162
\]
3. Finally, divide by \( 6 \):
\[
x = \frac{162}{6}
\]
\[
x = 27
\]
Therefore, assuming the angles are supplementary, \( x = 27 \) degrees.
If the angles are part of a different configuration (such as in a triangle), please provide more context or details about the angles' relationship, and I can adjust the solution accordingly!
If the angles \( (6x - 2)^\circ \) and \( 20^\circ \) are supplementary (add up to \( 180^\circ \)), the equation would be:
\[
(6x - 2) + 20 = 180
\]
Now, let's solve the equation step by step.
1. Combine like terms:
\[
6x - 2 + 20 = 180
\]
\[
6x + 18 = 180
\]
2. Isolate \( 6x \) by subtracting \( 18 \) from both sides:
\[
6x = 180 - 18
\]
\[
6x = 162
\]
3. Finally, divide by \( 6 \):
\[
x = \frac{162}{6}
\]
\[
x = 27
\]
Therefore, assuming the angles are supplementary, \( x = 27 \) degrees.
If the angles are part of a different configuration (such as in a triangle), please provide more context or details about the angles' relationship, and I can adjust the solution accordingly!