Option: A is the correct answer.
A. 45°,135°
We know that for a regular polygon with n sides the measure of each of the exterior angle is given by:
[tex]\dfrac{360\degree}{n}[/tex]
Also, the measure of each of the interior angles of the regular polygon with n sides is given by:
[tex]\dfrac{(n-2)\times 180\degree}{n}[/tex]
Here we have n=8 (octagon)
Hence, the measure of each of the exterior angles is:
[tex]\dfrac{360}{8}=45\degree[/tex]
and measure of each of the interior angles is given by:
[tex]\dfrac{(8-2)\times 180}{8}=\dfrac{1080}{8}=135\degree[/tex]
Hence,
Measure of interior angle= 135°
and measure of exterior angle= 45°
