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Applying the Inscribed Angle Theorem Activity
APPLYING THE INSCRIBED ANGLE THEOREM
You can learn a lot about a circle, its angles, and its arcs from the Inscribed Angle Theorem.
Remember the Inscribed Angle Theorem states that the measure of an inscribed angle is equal to half the measure of the intercepted arc.
Just by applying the Inscribed Angle Theorem along with your knowledge of a few other theorems, you can figure out nearly every single arc measure and angle measure in the circle to the left.
arc ED = 52"
Directions: Calculate all of the angle and arc measures needed to complete the table below.
Circle Part
Measure of the Part (including supporting work)
Angle C
Angle B
Angle BSD
Angle CSE
Angle E
Arc BC