# Worksheet: Tangents and Angles of Tangency

Q1:

Given that is a tangent to the circle, find .

Q2:

Given that is a tangent to the circle, find .

Q3:

Given that is a tangent to the circle below, find and .

• A , 226
• B , 113
• C , 113
• D , 226

Q4:

Given that is a tangent to the circle below, find and .

• A , 116
• B , 58
• C , 58
• D , 116

Q5:

Given that is a tangent to the circle below, find and .

• A , 218
• B , 109
• C , 109
• D , 218

Q6:

is tangent to the circle at . Find .

• A
• B
• C

Q7:

Given that is a tangent to the circle, find .

Q8:

If , find .

• A
• B
• C
• D

Q9:

Given that is a tangent to the circle and , find and .

• A ,
• B ,
• C ,
• D ,

Q10:

Given that and , find and .

• A78, 84
• B54, 84
• C54, 126
• D48, 84
• E78, 102

Q11:

Find .

Q12:

Given that , find and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q13:

If and are tangents to the circle and , find .

• A
• B
• C
• D

Q14:

Find .

• A
• B
• C
• D

Q15:

Given that is a tangent to the circle, and , determine and .

• A ,
• B ,
• C ,
• D ,
• E ,

Q16:

Given that , find .

• A
• B
• C
• D

Q17:

In the figure, is a diameter of circle . Given that , find .

Q18:

Find .

• A
• B
• C
• D

Q19:

Given the figure below, find and .

• A ,
• B ,
• C ,
• D ,

Q20:

Given that , where and are tangent to the circle at and , find .

• A
• B
• C
• D

Q21:

Given that , find .

• A
• B
• C
• D

Q22:

Given that , determine and .

• A ,
• B ,
• C ,
• D ,

Q23:

If and , find .

Q24:

Find .

• A
• B
• C
• D

Q25:

Given that is a tangent to the circle, and , find and .

• A ,
• B ,
• C ,
• D ,