Question

In the figure shown, DE is a diameter of the circle and the measure of
minor arc EF is 40 degree. What is the measure of major arc EDF?

Answer 1

Given : DE is a diameter of the circle and the measure of minor arc EF is 40 degree.

To Find :   measure of major arc EDF

Solution:

Minor arc + Major arc = 360° ( between two same points )

Minor arc  EF  + Major arc EF  =  360°

=> Minor arc  EF  + Major arc EDF  =  360°

Minor arc  EF = 40°

=> 40° + Major arc EDF  =  360°

=> Major arc EDF  =  320°

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