https://file.aiquickdraw.com/mathbot/file/1725559091215abz25bv8.jpg

The problem in the image asks to calculate the value of \( x \), with the angle labeled as \( 120^\circ \) and another angle given as \( 30x \). These angles are formed by intersecting lines, which appear to be on a straight line.

Given that the two angles lie on a straight line, they are supplementary angles. The sum of supplementary angles is always \( 180^\circ \).

Thus, we can set up the following equation:

\[
30x + 120^\circ = 180^\circ
\]

Now, let's solve for \( x \).

\[
30x = 180^\circ - 120^\circ
\]
\[
30x = 60^\circ
\]
\[
x = \frac{60^\circ}{30}
\]
\[
x = 2
\]

So, the value of \( x \) is \( 2 \).

Would you like more details or have any further questions?

### Related Questions:
1. What are supplementary angles?
2. How do you calculate the sum of interior angles on a straight line?
3. What are other ways to solve angle problems involving variables?
4. How do you find unknown angles in a triangle using algebra?
5. What is the difference between supplementary and complementary angles?

### Tip:
Remember, supplementary angles always add up to \( 180^\circ \), and complementary angles add up to \( 90^\circ \). This is a key concept when solving problems involving linear pairs of angles.

Calculate the value of x based on the image provided, where the angle formed by two intersecting lines is 120° and another angle is 30x.

Learn how to calculate the value of x in a supplementary angle problem, where the given angles are 120° and 30x. The sum of these angles on a straight line equals 180°. This problem is suitable for students in Grades 7-9.

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