The sum of the measures of the interior angles of the given figure i.e. of Pentagon will be [tex]540^0[/tex] 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 [tex](n-2)*180^0[/tex],
Where, [tex]n=[/tex] number of sides
And we have,
[tex]n=5[/tex]
So,
Sum of all interior angles [tex]=(5-2)*180^0[/tex]
[tex]=3*180^0[/tex]
Sum of all interior angles [tex]=540^0[/tex]
So, sum of interior angles of given figure is [tex]540^0[/tex] .
Hence, we can say that the sum of the measures of the interior angles of the given figure i.e. of Pentagon will be [tex]540^0[/tex] which is given in option (b).
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