https://file.aiquickdraw.com/mathbot/file/1727373347916wq7p5sh5.jpg

In the diagram, we see two adjacent angles formed by the intersection of lines, one labeled \(55^\circ\) and the other labeled \(r\). These angles are on a straight line, which means they are supplementary angles, summing to \(180^\circ\).

To find \(r\):

\[
r + 55^\circ = 180^\circ
\]

Solving for \(r\):

\[
r = 180^\circ - 55^\circ = 125^\circ
\]

Thus, the size of angle \(r\) is \(125^\circ\).

Would you like further details or have any questions?

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Here are five related questions to expand on this concept:
1. What are supplementary angles, and how are they different from complementary angles?
2. How do you calculate angles formed by intersecting lines?
3. What is the relationship between angles on a straight line?
4. How would the calculation change if \(r\) was an internal angle of a triangle?
5. Can you explain how vertical (opposite) angles are related?

**Tip:** Whenever angles form a straight line, they always sum up to \(180^\circ\).

This problem helps you calculate the size of angle r, where r and a given angle of 55° form a supplementary angle pair. Using the formula for angles on a straight line, this example covers the concept of supplementary angles and the linear pair theorem.

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