#1**+1 **

\(\angle{B}\) 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

#1**+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