Applying the inscribed angle theorems, the true statements regarding the given diagram are: B. m∠BCA = 25° C. m∠BOA = 50°
What is the Inscribed Angle Theorems?
The inscribed angle theorems state that:
- Measure of intercepted arc = 1/2(measure of inscribed angle)
- Measure of intercepted arc = measure of central angle.
∠BCA is an inscribed angle.
m(AB) is the intercepted arc = 50°
∠BOA is the central angle
m∠BCA = 1/2(m(AB) = 1/2(50) = 25°
m∠BOA = m(AB) = 50°
The true statements are:
m∠BCA = 25°
m∠BOA = 50°
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