In circle C, mDE = 84°. Find each measure.

1. measure of angle EFD

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02-03-2022
Mathematics

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In circle C, mDE = 84°. Find each measure.

1. measure of angle EFD

Sagot :

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jimthompson5910 jimthompson5910 · Answer 1 · 2022-03-02T07:57:10-05:00

jimthompson5910 jimthompson5910

02-03-2022

Answer: 42 degrees

Reason:

Use the inscribed angle theorem. Central angle DCE subtends the arc DE, so angle DCE = 84 degrees. Inscribed angle EFD is also subtending this same arc (DE), meaning we cut the arc/central angle measure in half to get 84/2 = 42.

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Sagot :

Answer: 42 degrees

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