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In circle K, what is the value of x?

In circle K, what is the value of x?-example-1

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Answer:

18°

Explanation:

A diameter cuts a circle into two arcs that are each 180°. An inscribed angle that intercepts an arc of 180° has a measure of 90°. Thus we have ...

... 5x = 90°

.. 90°/5 = x = 18°

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