Convert the angle \theta=\dfrac{23\pi}{20}θ= 20 23π theta, equals, start fraction, 23, pi, divided by, 20, end fraction radians to degrees

For this case we have the following angle in radians:

The first thing you should know to answer the question is the following conversion:

π radians = 180 degrees

Applying the conversion to the given angle we have:

Rewriting we have:

the angle measured in degrees, it is given by:

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