Circle D is shown. Line segments G D, F D, and E D are radii. Point H is on the other side of the circle. Angle G D F is 83 degrees and angle F D E is 66 degrees. What is the measure of Arc E F G?

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Answer:

149

Step-by-step explanation:

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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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