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Point is the center of this circle. What is m< BCA?

Point is the center of this circle. What is m< BCA?-example-1

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Answer:

62°

Explanation:

∠BOA is the supplement to the angle marked 56°, so is 124°. ∠BCA is an inscribed angle subtending the same arc (AB), so has half the measure of the arc.

m∠BCA = (1/2)(124°)

m∠BCA = 62°

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