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To determine the size of the angle marked \( z \), we can use the fact that the sum of angles on a straight line is \( 180^\circ \).

Given:
- The angle adjacent to \( z \) is \( 150^\circ \).

The equation for the sum of the angles is:
\[ z + 150^\circ = 180^\circ \]

Solving for \( z \):
\[ z = 180^\circ - 150^\circ \]
\[ z = 30^\circ \]

Therefore, the size of the angle marked \( z \) is \( 30^\circ \).

Would you like any further details or have any questions?

Here are some additional questions you might find interesting:
1. How do you calculate the complementary angle of a given angle?
2. What is the definition of supplementary angles?
3. How do you find the angle in a triangle given two angles?
4. Can you explain how to use the exterior angle theorem in triangles?
5. What are vertically opposite angles and how do they relate?

**Tip:** Always remember that the sum of angles on a straight line is \( 180^\circ \), and this property is often used to solve problems involving adjacent angles.

Learn how to determine the size of an angle marked z with a step-by-step solution. This problem involves understanding angles on a straight line and adjacent angles. Suitable for students in Grades 6-8.

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