https://file.aiquickdraw.com/mathbot/file/1727973465060sp7u2nul.jpg

Let's solve for the angle \( y \) in the given diagram.

### Step 1: Use the fact that vertically opposite angles are equal.
In the diagram, angle \( y \) is vertically opposite to the angle marked as 38°. Hence, 
\[
y = 38^\circ
\]

So, the measure of angle \( y \) is 38°.

Would you like more details on this or any further explanation?

Here are five follow-up questions:
1. What are vertically opposite angles?
2. How can you determine if two angles are complementary or supplementary?
3. How do you use the sum of angles in a triangle to solve for unknown angles?
4. What other properties of angles can help in solving problems like this?
5. How can alternate interior angles be applied in geometric problems?

**Tip:** Always look for angle relationships such as vertical, corresponding, or alternate interior angles when solving geometric problems.

Find the measure of angle y in the given geometric diagram.

Solve for angle y using the Vertically Opposite Angles Theorem in a geometric diagram. Learn how to identify and apply this property to find unknown angles. Suitable for students in Grades 6-8.

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