Verified Answer :

the answer is C 720 degrees

The sum of the measures of the interior angles of the given figure i.e. of Pentagon will be \(540^0\) which is given in option (b).

What are interior angles?

Interior angles are those angles, if a point within the angle is in the interior of the polygon.

We have,

A polygon of five sides i.e. Pentagon.

So,

Sum of all interior angles is given by \((n-2)*180^0\),

Where, \(n=\) number of sides

And we have,

\(n=5\)

So,

Sum of all interior angles  \(=(5-2)*180^0\)

                                            \(=3*180^0\)

Sum of all interior angles \(=540^0\)

So, sum of interior angles of given figure is  \(540^0\) .

Hence, we can say that the sum of the measures of the interior angles of the given figure i.e. of Pentagon will be \(540^0\) which is given in option (b).

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