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Use the following image to determine the measure of arc GH.

Use the following image to determine the measure of arc GH.-example-1

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Answer:

Arc GH = 78°

Explanation:

Inscribed angle = m<GIH = 39°

Measure of arc related to inscribed angle = arc GH = ?

Thus:

m<GIH = ½(arc GH) => Inscribed angles theorem

Substitute

39° = ½(arc GH)

Multiply both sides by 2

2*39° = arc GH

78° = arc GH

Arc GH = 78°

User Max Pronko
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