Middle School

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Circle D is shown. Line segments GD, FD, and ED are radii. Point H is on the other side of the circle. Angle GDF is 83 degrees and angle FDE is 66 degrees.

What is the measure of Arc EFG?

Answer :

The measure of arc EFG is 149°.

What is arc?

The arc is a portion of the circumference of a circle.

∠GDF = 83°

∠FDE = 66°

Measure of arc EFG = ∠GDF + ∠FDE

Substitute the values

Measure of arc EFG = 83 + 66

Measure of arc EFG = 149°

Therefore, the measure of arc EFG is 149°

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