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To find the measure of angle \( a \), we can use the concept of supplementary angles and the linear pair of angles. The diagram shows that the 159° angle and angle \( a \) are supplementary because they are on a straight line. Therefore:

\[
a + 159^\circ = 180^\circ
\]

Solving for \( a \):

\[
a = 180^\circ - 159^\circ = 21^\circ
\]

So, the measure of angle \( a \) is \( 21^\circ \).

Would you like more details or have any further questions?

Here are some related questions you might find useful:

1. What are supplementary and complementary angles?
2. How do you identify alternate interior angles in a transversal situation?
3. What is the sum of angles in a triangle?
4. How do you find angles in parallel line intersections?
5. Can you explain the concept of vertically opposite angles?

**Tip:** Always check the relationship between angles formed by intersecting lines, such as corresponding, alternate, and co-interior angles, as they follow specific rules.

In this problem, you will learn how to find the measure of angle a using the concept of supplementary angles. Given that angle a and 159° form a linear pair, we calculate angle a by subtracting 159° from 180°. This geometry problem is suitable for students in Grades 6-8.

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