Respuesta :

Option C:

interior angle 144°, exterior angle 36°

Solution:

The given image is a regular decagon.

Therefore the number of sides (n) = 10

Each interior angle = [tex]\frac{(n-2) \cdot 180}{n}[/tex]

                                [tex]$=\frac{(10-2) \cdot 180}{10}[/tex]

                                [tex]$=\frac{8\cdot 180}{10}[/tex]

Each interior angle = 144°

Each exterior angle = [tex]\frac{360^{\circ}}{n}[/tex]

                                 [tex]$=\frac{360^{\circ}}{10}[/tex]

Each exterior angle = 36°

Hence interior angle 144°, exterior angle 36°.

Option C is the correct answer.

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