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To find angle \( x \) in the circle, we can use the Inscribed Angle Theorem. The Inscribed Angle Theorem states that an inscribed angle is half the measure of the central angle that subtends the same arc.

Here, the angle given is 24°, which is an inscribed angle. The angle \( x \) is a central angle that subtends the same arc as the 24° angle.

Using the Inscribed Angle Theorem:
\[
\text{Central angle} = 2 \times \text{Inscribed angle}
\]

Thus,
\[
x = 2 \times 24^\circ = 48^\circ
\]

Therefore, angle \( x \) is 48°.

Would you like more details or have any questions?

Here are five related questions to expand your understanding:
1. What is the Inscribed Angle Theorem and how is it applied in different problems?
2. How can you identify inscribed and central angles in different circle diagrams?
3. What are other important theorems related to circles that involve angles?
4. Can the Inscribed Angle Theorem be used to find arc lengths? If so, how?
5. How do you solve problems involving cyclic quadrilaterals and their angle properties?

**Tip:** Always remember that the inscribed angle is half of the central angle subtending the same arc. This can be very useful in solving many problems related to circles.

Find angle x. Which circle theorem did you use?

Learn how to find angle x in a circle using the Inscribed Angle Theorem. In this problem, the inscribed angle is 24°, and we apply the formula to determine the corresponding central angle. Suitable for students in Grades 8-10 studying geometry.

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