\(\angle{B}\) 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:
\(25^{\circ}=\frac{1}{2}m\stackrel\frown{AC}\)
\(50^{\circ}=m\stackrel\frown{AC}\)
\(\angle{B}\) 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:
\(25^{\circ}=\frac{1}{2}m\stackrel\frown{AC}\)
\(50^{\circ}=m\stackrel\frown{AC}\)