# 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 . Q2:

From the figure, what is ? Q3:

Given that , find . Q4:

Given that , find . Q5:

In the given figure, the diameter of circle is . If , what is ? • A
• B
• C
• D

Q6:

Given that is a diameter in the circle , and , find in degrees. 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 . Q12:

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 . Q16:

In the figure, is the center and . What is the measure of angle ?

What is the measure of angle ?

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 . Q24:

Find . Q25:

Given that is a diameter in a circle with center , find and . • A,
• B,
• C,
• D,