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Worksheet: Inscribed Angles

Q1:

The measure of is . Find .

Q2:

Given that , find .

• A48
• B228
• C66
• D114

Q3:

Given that , find .

• A
• B
• C
• D

Q4:

In the given figure, the diameter of circle is . If , what is ?

• A
• B
• C
• D

Q5:

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

Q6:

Find .

• A
• B
• C
• D

Q7:

Given that and , find .

• A
• B
• C
• D

Q8:

Find and .

• A ,
• B ,
• C ,
• D ,

Q9:

Given that , find .

Q10:

Given that , find .

• A
• B
• C
• D

Q11:

Given that is a diameter of the circle and , find .

• A
• B
• C
• D

Q12:

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

• A
• B
• C
• D

Q13:

Given that , find .

Q14:

Given that , and , find and .

• A ,
• B ,
• C ,
• D ,

Q15:

Find .

Q16:

Find .

Q17:

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

Q18:

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

Q19:

Find the value of .

Q20:

Find the value of .

Q21:

Find .

Q22:

In the figure, is the center and .

What is the measure of angle ?

What is the measure of angle ?

Q23:

From the figure, what is ?

Q24:

Given that , find , and .

• A , ,
• B , ,
• C , ,
• D , ,

Q25:

Given that and , determine the value of .