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Answer :

We have to convert this angle measure from radians to degrees.

To do that we take into account that π radians is equivalent to 180°.

So we can convert the measure from radians to degrees by multiplying by the factor (180°/π).

Then, if the angle is 7π/11, we can express it in degrees as:

[tex]\frac{7\pi}{11}\cdot(\frac{180\degree}{\pi})=\frac{7\cdot180\degree}{11}\approx114.55\degree[/tex]

NOTE: to convert from degrees to radians, we use the same factor but inverted: we multiply by π/180.

Answer: 114.55°