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 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 angl class=

Respuesta :

Answer:

108

Step-by-step explanation:

The measure of interior angle after a 9[tex]0^{o}[/tex] rotation is 10[tex]8^{o}[/tex]

What is pentagon?

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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