Question

I neeed help please ​

Answer 1

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 = $\frac{(n-2) \cdot 180}{n}$

                                $=\frac{(10-2) \cdot 180}{10}$

                                $=\frac{8\cdot 180}{10}$

Each interior angle = 144°

Each exterior angle = $\frac{360^{\circ}}{n}$

                                 $=\frac{360^{\circ}}{10}$

Each exterior angle = 36°

Hence interior angle 144°, exterior angle 36°.

Option C is the correct answer.