Based on the inscribed angle theorem, the statements that are true are:
A. m(Arc) CB = 120°
C. m∠COB = 2(m∠CAB)
D. m∠COB = 120°
What is the Inscribed Angle Theorem?
The inscribed angle theorem states that the measure of an inscribed angle = 1/2(the measure of the central angle or intercepted arc).
Note: measure of intercepted arc = measure of central angle.
Thus:
Measure of arc CB = 2(m∠CAB)
Substitute
Measure of arc CB = 2(60)
Measure of arc CB = 120°
m∠COB = 2(m∠CAB)
Substitute
m∠COB = 2(60)
m∠COB = 120°
Therefore, based on the inscribed angle theorem, the statements that are true are:
A. m(Arc) CB = 120°
C. m∠COB = 2(m∠CAB)
D. m∠COB = 120°
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