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The image shows two intersecting lines forming an angle, and you are asked to calculate the value of \( x \).

Based on the image:
- There are two angles on the same side of a transversal line. One angle is given as \( 3x \) degrees, and another angle adjacent to it is labeled as \( 45^\circ \).
- These angles are supplementary since they form a straight line, meaning the sum of \( 3x \) and \( 45^\circ \) should equal \( 180^\circ \).

We can set up the equation:
\[
3x + 45 = 180
\]

Let me solve this for you.The value of \( x \) is \( 45^\circ \).

Would you like more details on how this solution was reached, or do you have any other questions?

Here are 5 related questions you might find helpful:
1. What are supplementary angles, and how do they work?
2. How do transversal lines interact with parallel lines?
3. What is the difference between adjacent and vertical angles?
4. How can you use algebra to solve for unknown angles?
5. What are alternate interior and exterior angles?

**Tip**: When angles are formed by a transversal cutting across two parallel lines, supplementary angles always add up to \( 180^\circ \).

Calculate the value of x given that two angles on the same side of a transversal are 3x degrees and 45 degrees, and are supplementary.

Learn how to solve for x when two angles on the same side of a transversal, 3x and 45 degrees, are supplementary. This problem covers algebra and geometry concepts, including the theorem for supplementary angles. Suitable for students in Grades 6-8.

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