https://file.aiquickdraw.com/mathbot/file/1727100857555gh723tg6.jpg

The image shows two intersecting lines, where the angle adjacent to the angle labeled \( z \) is given as \( 35.6^\circ \). Since the two angles are formed by a pair of intersecting lines, they are vertical angles, which means they are equal.

Thus, the value of \( z \) is:

\[
z = 35.6^\circ
\]

Do you need any further details or clarification?

Here are five related questions:
1. What are complementary and supplementary angles?
2. How can you identify vertical angles in a diagram?
3. What is the relationship between alternate interior angles in parallel lines?
4. Can vertical angles be obtuse or acute? Why?
5. How would you calculate the third angle in a triangle if two angles are given?

**Tip:** Vertical angles are always equal in measure, and they occur where two lines intersect.

What is the value of z in the given angle problem where z is opposite to the 35.6° angle?

Learn how to find the value of angle z in this geometry problem using the Vertical Angles Theorem. In this diagram, z is equal to 35.6°, as vertical angles are always congruent.

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