https://file.aiquickdraw.com/mathbot/file/1721127539907dcm5vc24.png

To determine the size of angle \( x \) in the provided image, we use the fact that the sum of the angles around a point is 360 degrees.

Given:
- One of the angles around the point is \( 150^\circ \).
- The remaining angle is \( x \).

Since the sum of angles around a point is 360 degrees, we can write the equation:

\[
x + 150^\circ = 360^\circ
\]

Solving for \( x \):

\[
x = 360^\circ - 150^\circ = 210^\circ
\]

Therefore, the size of angle \( x \) is \( 210^\circ \).

Would you like any further details or have any questions?

Here are 5 questions you might want to ask:

1. How do you determine supplementary angles?
2. What is the relationship between angles around a point?
3. Can you explain how to solve for unknown angles in polygons?
4. What are vertical angles and how are they related?
5. How can angle properties be used in practical applications?

**Tip:** Always double-check the sum of angles in complex figures to ensure the calculations align with geometric properties.

Learn how to solve for unknown angles around a point using the principle that angles around a point sum to 360 degrees. This problem involves calculating the size of an unknown angle given one known angle. Suitable for students in Grades 7-9.

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