Equilateral triangle abc is inscribed in circle o. use the diagram to find the following measures.

m ab =

m
m

If triangle ABC is equilateral, then its three angles are equal to 60°:
m <ACB = m <ABC = m <BAC = 60°

The arc AB is contained by the <ACB, the:
m <ACB=[m arc(AB)]/2
Replacing m<ACB by 60° in the equation above:
60°= [m arc(AB)] / 2
Solving for m arc(AB):
2*60°=2*[m arc(AB)]/2
120°= m arc(AB)
m arc(AB)=120°

m arc(AB)=120°

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