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What is the measure of  AC?

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Netzer7  Jun 6, 2017

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 #1
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\(\angle{B}\) is considered to be an inscribed angle. This means that the angle's vertex is lying on the circle and chords extend from that vertex. There is a formula for the relationship of a inscribed angle and its corresponding intercepted arc. Here is the formula:

 

Inscribed Angle = \(\frac{1}{2}\) intercepted arc

 

Sorry, I had a hard with the arc symbol on top of AC, but I tried my best. Let's apply this theorem:
 

\(25^{\circ}=\frac{1}{2}m\stackrel\frown{AC}\)

 

\(50^{\circ}=m\stackrel\frown{AC}\)

TheXSquaredFactor  Jun 6, 2017
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1+0 Answers

 #1
avatar+814 
+1
Best Answer

 

\(\angle{B}\) is considered to be an inscribed angle. This means that the angle's vertex is lying on the circle and chords extend from that vertex. There is a formula for the relationship of a inscribed angle and its corresponding intercepted arc. Here is the formula:

 

Inscribed Angle = \(\frac{1}{2}\) intercepted arc

 

Sorry, I had a hard with the arc symbol on top of AC, but I tried my best. Let's apply this theorem:
 

\(25^{\circ}=\frac{1}{2}m\stackrel\frown{AC}\)

 

\(50^{\circ}=m\stackrel\frown{AC}\)

TheXSquaredFactor  Jun 6, 2017

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