Worksheet: Angles Formed by Lines Intersecting inside a Circle

In this worksheet, we will practice finding the measure of an angle that is formed by lines intersecting inside a circle.

Q1:

Given that , find .

Q2:

Find .

Q3:

Find .

• A
• B
• C
• D

Q4:

Find .

Q5:

Find the value of .

Q6:

Find in the given figure.

Q7:

Find the value of .

Q8:

Find the value of .

Q9:

Find .

Q10:

Given that and , find .

Q11:

Given that is a diameter in the circle , determine and .

• A ,
• B ,
• C ,
• D ,

Q12:

Given that and , find .

Q13:

Find .

Q14:

In the figure, determine .

Q15:

Given that , and is the midpoint of , find .

Q16:

Find .

Q17:

Find .

Q18:

Find .

Q19:

If , find .

Q20:

Given that , find .

Q21:

In the figure, and are equal chords and and are their midpoints. Determine .

Q22:

Given that , find .

• A
• B
• C
• D

Q23:

Given that and are two equal chords in the circle , where and , find and the length of .

• A , 86 cm
• B , 43 cm
• C , 86 cm
• D , 43 cm

Q24:

Find .

Q25:

What is ?