B. In Circle M Below, What Is The Measurement Of Angle Bro If Angle Bmo Measures 70\Xb0? Show Your Solution. (5pts) B R M

B. In circle M below, what is the measurement of angle BRO if angle BMO measures 70°? Show your solution. (5pts) B R M

Answer:

35°

∠BMO is called Central angle. If the minor arc BO measures 70°, then the central angle will also be 70°.

∠BRO is called inscribed angle. If the minor arc BO measures 70°, then the inscribed angle will be half of the measure of its intercepted arc.

∠BRO = $\frac{1}{2}$ (Arc BO)

∠BRO = $\frac{1}{2}$ (70°)

∠BRO = 35°