To solve for \( x \), more information is needed about the geometric setup. The measure of angle \( \angle GCE = 96^\circ \) is given, but it's unclear how \( x \) relates to this angle.

Typically, \( x \) could represent:
- A related angle.
- A side length in a triangle, using trigonometric relations.
- Part of an equation involving \( \angle GCE \).

Could you clarify the relationship between \( x \) and \( \angle GCE \)? For example:
- Is \( x \) part of another angle or side in a triangle or polygon?
- Are there any specific relationships or equations given in the problem?

Let me know, and I'll help you proceed!

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In the meantime, here are five possible questions to explore related concepts:

1. How do you find the value of \( x \) in a triangle using angle properties?
2. What is the sum of the interior angles in a polygon, and how is it related to solving for unknowns?
3. How does the Law of Cosines relate side lengths to angles in a triangle?
4. What is the relationship between supplementary angles?
5. How do you use algebraic expressions to solve for unknown angles?

**Tip:** When solving for unknowns in geometry, always check if angles are complementary, supplementary, or part of a triangle's total angle sum (180°).

Explore how to solve for x when given m∠GCE = 96°. This problem focuses on key geometry concepts such as angle measurement, supplementary angles, and related theorems. Suitable for students in Grades 8-10.

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