https://file.aiquickdraw.com/mathbot/file/1729776957111pvoblms6.jpg

The image shows a pair of opposite angles, formed by two intersecting lines. The angle labeled as \( a \) is missing, while the other given angle is \( 29^\circ \).

Because opposite angles are equal, we know that:

\[
a = 29^\circ
\]

Thus, the measure of the missing angle \( a \) is \( 29^\circ \).

Would you like more details or have any other questions? Here are some related questions to explore:

1. What are supplementary angles, and how do they differ from vertical angles?
2. How can you find the measure of angles in a triangle using only one given angle?
3. What are adjacent angles, and how are they related to complementary angles?
4. How can you determine unknown angles when dealing with parallel lines and a transversal?
5. What other geometric properties are useful when analyzing intersecting lines?

**Tip:** Opposite (or vertical) angles formed by intersecting lines are always congruent. This is a key property to remember when solving for missing angles.

Solve the problem of finding the missing angle using the Vertical Angles Theorem. In this example, opposite angles are congruent, leading to a straightforward solution. Suitable for students in Grades 6-8.

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