https://file.aiquickdraw.com/mathbot/file/1726581691903uedrqjyx.jpg

The image shows an angle of \(150^\circ\) formed by two intersecting lines, and the angle marked as \(z\), which is on the outside of this intersection.

Since the image indicates that it's "not drawn accurately," we rely on the information provided. The sum of angles on a straight line is always \(180^\circ\). Therefore, the angle \(z\) can be found as follows:

\[
z = 180^\circ - 150^\circ = 30^\circ
\]

So, \(z = 30^\circ\).

Would you like a more detailed explanation or have any questions?

Here are some related questions for further exploration:
1. What is the sum of the interior angles of a triangle?
2. How do you find the supplementary angle of a given angle?
3. Can two adjacent angles be both obtuse?
4. How do you classify angles based on their measures?
5. What is the difference between supplementary and complementary angles?

**Tip:** When dealing with angles around a straight line, remember that their sum is always \(180^\circ\).

What is the value of angle z if the adjacent angle is 150°?

This problem asks to find angle z when the adjacent angle is 150°. Using the concept of supplementary angles, where the sum of angles on a straight line equals 180°, we determine that z = 30°. Suitable for students in Grades 6-8.

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