https://file.aiquickdraw.com/mathbot/file/1729293901492cf1rh29k.jpg

In the image, we have two angles on a straight line. One angle is \(30^\circ\), and the other angle is labeled as \((3x)^\circ\). Since these two angles are on a straight line, they are supplementary, meaning their sum equals \(180^\circ\).

We can set up the equation as follows:

\[
30^\circ + (3x)^\circ = 180^\circ
\]

Now, solve for \(x\):

1. Subtract 30 from both sides:

\[
3x = 180^\circ - 30^\circ
\]

\[
3x = 150^\circ
\]

2. Divide both sides by 3:

\[
x = \frac{150^\circ}{3} = 50^\circ
\]

So, \(x = 50^\circ\).

Would you like any further explanation or details?

### 5 Related Questions:
1. What are supplementary angles, and how are they used in solving equations?
2. How would the problem change if the given angle were different, say \(40^\circ\)?
3. Can this method be applied to non-straight angles, like interior angles of polygons?
4. How do you find the value of \(x\) if both angles had variable expressions?
5. What are complementary angles, and how are they different from supplementary ones?

### Tip:
When dealing with angles on a straight line, always remember they must sum up to \(180^\circ\). This is a useful fact in geometry problems!

Solve for x. In the image, two angles on a straight line are given: one is 30°, and the other is labeled as (3x)°. Find the value of x.

Learn how to solve for x in a geometry problem involving two angles on a straight line: 30° and (3x)°. Using the concept of supplementary angles, find the value of x step-by-step. Perfect for students in Grades 6-8.

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