https://file.aiquickdraw.com/mathbot/file/1725856991758u0nugvb0.jpg

From the image, it looks like you are asked to solve for the value of angle \( a \), where the diagram involves angles formed by intersecting lines.

Based on the provided setup:
- There is a pair of adjacent angles, \( 87^\circ \) and \( a \), which appear to be on a straight line.

Since adjacent angles on a straight line are supplementary, their sum equals \( 180^\circ \). Therefore, to find \( a \):

\[
a + 87^\circ = 180^\circ
\]

Now solving for \( a \):

\[
a = 180^\circ - 87^\circ = 93^\circ
\]

Thus, the value of \( a \) is \( 93^\circ \).

Would you like more details or have any questions about this solution? Here are 5 additional related questions you might find interesting:

1. What are supplementary angles, and how are they related to a straight line?
2. How can you use vertical angles to find unknown values in intersecting lines?
3. What is the difference between complementary and supplementary angles?
4. How would you solve for \( a \) if one of the given angles was unknown?
5. What is the role of adjacent angles in geometric proofs?

**Tip:** Always remember that angles on a straight line sum up to 180°, a property that often helps solve many geometry problems involving lines and angles.

Solve for the value of a. (Given: Adjacent angles are 87° and a.)

In this problem, we solve for the unknown angle a, knowing that it forms a pair of supplementary angles with 87°. This solution applies the Supplementary Angles Theorem, which states that adjacent angles on a straight line add up to 180°. Suitable for students in Grades 6-8.

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