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Find mCFD
O 180°
O 276°
O 307°
O 53°

Find mCFD O 180° O 276° O 307° O 53°-example-1

1 Answer

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9514 1404 393

Answer:

307°

Explanation:

The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...

arc CFD = 360° -(arc BF -arc ED)

arc CFD = 360° -132° +79°

arc CFD = 307°

_____

Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.

User Simply Brian
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