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​​Circle Theorems: Quiz 7
You may use a calculator for the following questions. All of the diagram in the questions are not drawn to scale.
 
1) Line AB is a tangent to the circle at C. 
a) What is the size of angle DEC? Give a reason for your answer.
b) What is the size of angle ECB? Give a reason for your answer.
c) What is the size of angle DCE?
 
2) The line AB is a tangent to the circle at C.   
a) What is the size of angle CDE? Give a reason for your answer.
b) What is the size of angle ACD? Give a reason for your answer.
c) What is the size of angle 0CB? Give a reason for your answer.
d) What is the size of angle DCE?
 
3) Line AB is a tangent to the circle at C. 
a) What is the size of angle CDE? Give a reason for your answer.
b) What is the size of angle ECB? Give a reason for your answer.
c) What is the size of angle ACO? Give a reason for your answer.
d) What is the size of angle DEC? Give a reason for your answer.