# Circles & angles & arcs

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## 2. Inscribed Angle

An inscribed angle is an angle whose vertex is on the circle and whose sides are chords of the circle. There are 2 types of inscribed angle:

a. If you want the measure of the arc it intersepts it is equal to the arc divided by 2 Example (fig1):angle ZAT=arc FE divided 2

b. Angle formed by a tangent and a chord intersecting at a point on the circle if you want the measure of the arc it intercepts it is equal to the arc divided by 2.

Example: (fig2): angles ATX, BTX, and ETY are inscribed angles

## 3. Exterior angles

An exterior angle is an angle whose vertex outside the circle and its sides cut the circle.There are 3 types of exterior angles: