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vova2212 [387]
1 year ago
15

Angle DEF is an inscribed angle on a circle, and m∠DEF = 64°. What is the measure of arc DF?

Mathematics
1 answer:
Svetach [21]1 year ago
6 0

Answer:

128°

Step-by-step explanation:

<u>The measure of an inscribed angle is half the measure of the intercepted arc.</u> That means that the intercepted arc is two times the inscribed angle.

Measure of the inscribed angle DEF is 64°, that means that the measure of the intercepted arc DF is 2×64°, which is 128°.

m\overset{\huge\frown}{DF} = 2 \times m\angle DE F = 2 \times 64^\circ = 128^\circ

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