Worksheet: Angles Formed by Lines Intersecting outside a Circle
In this worksheet, we will practice finding the measure of an angle that is formed by lines intersecting outside a circle.
Given that is the measure of the major arc , find the value of .
Find length to the nearest integer.
Given that , , , and , find the lengths of and .
- A ,
- B ,
- C ,
- D ,
- E ,
In the figure, find the value of .
Given that and , find .
Find the value of .
Given that is a tangent to the circle below, find .
Given that and are two tangents to the circle , and , determine .
Given that , find .
Lines and are tangent to circle . If , what is ?
Given that is a diameter in the circle , is a tangent to the circle at , and , find .
Given that , where and are tangent to the circle at and , find .
In the figure, and are tangents to . What is ?
is the regular pentagon drawn inside the circle , is a tangent to the circle at , and is a tangent to the circle at . Find .
Circle has radius 65. Suppose is on a line and is perpendicular to . If what can be said of how lies with respect to the circle?
- A is outside of circle
- B is a tangent to circle
- C is a secant to circle
In the figure, is a diameter of the circle . Given that , find .
If , find .