# Worksheet: Circle Theorems

In this worksheet, we will practice recognizing and applying circle theorems to find unknown angle measures in circles.

**Q1: **

In the following figure, is a tangent to circle with center at point . Find the length of to the nearest tenth.

**Q2: **

In the the following figure, and are tangents to the circle at points and , respectively, , and . Find .

**Q3: **

In the following figure, is a tangent to circle of center at point . Find .

**Q4: **

In the following figure, is a tangent to circle at point and . Find .

**Q5: **

In the following figure, is a tangent to circle of center at point , , and . Find .