1. The problem asks: "An inscribed angle is an angle with its vertex on the _____________ of the circle." The correct answer is "edge" or "circumference" because an inscribed angle's vertex lies on the circle itself. 2. Solve for $x$ in the given problem (not fully specified here, so cannot solve). 3. The intercepted arc of an inscribed angle is \textbf{double} the measure of the inscribed angle. This means: $$\text{Measure of intercepted arc} = 2 \times \text{Measure of inscribed angle}$$ 4. Multiple choice question (no details provided, so cannot answer). 5. Determine if $\angle ABC$ is a central angle, inscribed angle, or neither. Since $B$ is on the circle and $A$ and $C$ are points on the circle, $\angle ABC$ is an \textbf{inscribed angle}. 6. Multiple choice question (no details provided, so cannot answer). 7. Determine if arc $AC$ is a major arc, minor arc, or semicircle. Without the diagram, generally: - Minor arc is less than 180° - Major arc is more than 180° - Semicircle is exactly 180° 8. Angle $L$ measures (not specified, cannot solve). 9. What is the measure of $\angle BAC$? Given $\angle ACB = 90^\circ$ (from the problem), and $A$, $B$, $C$ on the circle, $\angle BAC$ is the angle subtended by the diameter, so $m \angle BAC = 90^\circ$. 10. The measure of an inscribed angle equals \textbf{half the measure of the intercepted arc}. 11. Solve for $x$ (not specified, cannot solve). 12. Find the measure of arc $AB$ (not specified, cannot solve). 13. Determine if $\angle AOB$ is a central angle, inscribed angle, or neither. Since $O$ is the center, $\angle AOB$ is a \textbf{central angle}. 14. The theorem illustrated: "An angle inscribed in a semicircle is a right angle." 15. If two inscribed angles intercept the same arc, then \textbf{they are congruent}. Summary of key formulas and rules: - Inscribed angle vertex lies on the circle's edge. - Inscribed angle measure = half the intercepted arc. - Central angle vertex is at the center. - Angle inscribed in a semicircle = 90°.