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Find the measure of minor arc BC (labeled as x)

Find the measure of minor arc BC (labeled as x)-example-1

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Answer:80°

Explanation:

We can use the given angle, 50, to determine the other angles of the triangle opposite to the arc that we need to find the measure of.

Because the entire inscribed figure is rectangular, we can use our given angle to determine the other angles of the triangle represented by the given angle, which are 50 and 80.

Now we can use the 80° angle <DPA, which is also equal to <CPB.
This means that the center angle <CPB is also 80°, and it means that the corresponding arc X is also 80°.

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User Aditya Bhave
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