Inscribed Angles

Inscribed Angles in Circles

Inscribed Angles

Inscribed Angles are angles with their vertex ON the edge of the circle.

They look like this ------>

 $\angle ABC$  

Inscribed Angles

Every inscribed angle has an Intercepted Arc

They look like this ------>

arc AC

Inscribed Angles

The relationship between the Inscribed Angle and the Intercepted Arc can be described as follows:

Intercepted arc equals to two times the inscribed angle.

 $arc=2\angle$  

Find the measure of angle ABC

 $arc\ =\ 2\angle$  

Find the measure of angle ABC

 $arc\ =\ 2\angle$  

 $146=2\angle$  

Find the measure of angle ABC

 $arc\ =\ 2\angle$  

 $\frac{146}{2}=\frac{2\angle}{2}$  

Find the measure of angle ABC

 $arc\ =\ 2\angle$  

 $\frac{146}{2}=\frac{2\angle}{2}$  

 $73=\angle$  

Find the measure of angle ABC

 $arc\ =\ 2\angle$  

 $arc\ =2\ \left(34\right)$  

Find the measure of angle ABC

 $arc\ =\ 2\angle$  

 $arc\ =2\ \left(34\right)$  
 $arc\ =68\degree$  

Multiple Choice

What is the measure of

 $\angle EDF$  ?

• 120

• 60

• 180

• 240

Multiple Choice

What is the measure of

 $\angle XWE$  ?

• 180

• 112

• 56

• 360

Multiple Choice

Find the measure of arc DC.

• 124

• 31

• 62

• 360

Fill in the Blank

Find the measure of Arc XW.

Poll

Choose the option that best describes you.

• I understand inscribed angles and arcs so far. I could answer more difficult questions on my own.

• I think I understand inscribed angles and arcs but I need more practice.

• I need to be retaught this entire lesson.