# Lesson Worksheet: Inscribed Angles in a Circle Mathematics

In this worksheet, we will practice identifying theorems of finding the measure of an inscribed angle with respect to its subtended arc or central angle subtended by the same arc and the measures of inscribed angles in a semicircle.

**Q1: **

Given that and , determine the value of .

**Q4: **

Given that , find .

**Q7: **

Given that and , find .

**Q8: **

Given that , find .

**Q9: **

In the figure, is the center of the circle, and is the nonreflex angle at . Given that , find .

**Q10: **

Given that , find .

**Q11: **

Find .

**Q13: **

In the figure, intersects the circle at and , and intersects the circle at and . Given that , find .

**Q14: **

If the measure of an arc of a circle is , what is the measure of the inscribed angle subtended by that arc?

**Q15: **

Find .

**Q17: **

Given that , find .

**Q18: **

Find .

**Q19: **

Determine the type of an inscribed angle subtended by an arc that is of the circle.

- Aan acute angle
- Ban obtuse angle
- Ca right angle

**Q20: **

Given that and , find .

**Q21: **

Given that , find .

**Q22: **

Find .

**Q23: **

Given that , find .

**Q25: **

Given that is a diameter in a circle with center , find and .

- A,
- B,
- C,
- D,