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# Need some help with math

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What is the measure of  AC?

Jun 6, 2017

#1
+2298
+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:

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

$$50^{\circ}=m\stackrel\frown{AC}$$

.
Jun 6, 2017

#1
+2298
+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