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The given image shows two intersecting lines that form two angles: one labeled as \(54.1^\circ\) and the other labeled as \(d\). Since these angles are on a straight line and adjacent, they are **supplementary angles**, which means their sum must equal \(180^\circ\).

To find \(d\), use the equation:
\[
d + 54.1^\circ = 180^\circ
\]

Now, solve for \(d\):
\[
d = 180^\circ - 54.1^\circ = 125.9^\circ
\]

Thus, the value of \(d\) is \(125.9^\circ\).

Would you like more details on this, or do you have any questions?

Here are 5 related questions:
1. What are supplementary angles, and how do they apply to straight lines?
2. How would the calculation change if the given angle were obtuse?
3. Can two angles on a straight line both be acute? Why or why not?
4. What is the sum of all angles around a point, and how does it differ from supplementary angles?
5. How do vertical angles relate to this type of problem?

**Tip:** When working with angles on a straight line, always remember that their sum is \(180^\circ\), which can help solve many geometry problems.

This problem shows how to find the value of the angle d when the adjacent angle is 54.1°. Using the concept of supplementary angles, which states that the sum of angles on a straight line is 180°, we solve for d. Suitable for Grades 6-8.

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