The interior angle of the regular pentagon below measures 108, and the pentagon has rotational symmetry. Which of the following is the measure of an interior angle after a 90 rotation around the point of symmetry?

The measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]
In the pentagon, the sum of the interior angles is equal to 540°. If all the sides are equal and all the angles are of equal measure, then it is a regular pentagon. Otherwise, it is irregular. In the regular pentagon, each interior angle measures 108°, and each exterior angle measures 72°.
according to the question
After rotation the size of the interior angle stays the same.
10[tex]8^{o}[/tex] = 10[tex]8^{o}[/tex]
Hence, the measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]
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