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Find the measure of the arc. Please help!

Find the measure of the arc. Please help!-example-1

1 Answer

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Answer:

The value of mEFD = 214°

Explanation:

Given that the measure of the degree of one of the central angles of an inner circle is 146°.

We know that sum of all central angles is 360°.

In other words, in our case

mEFD + 146° = 360°

Thus, we can determine the mEFD using the equation

mEFD + 146° = 360°

so subtracting 146° to both sides

mEFD + 146° - 146° = 360° - 146°

mEFD = 214°

Therefore, the value of mEFD = 214°

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