Respuesta :

GoddessofDork

So for this, we first have to find the exterior angle. We can do this by subtracting 135 from 180 (linear pair theorem). The difference is 45°.

Next, since all exterior angles add up to 360°, divide 360 by 45 and your answer will be 8 sides, or A.

here we have given the interior angles as 135 degrees.

we have give that it is a polygon

we need to find how many sides does it have.

we need to find exterior angle.

we know that sum of interior and exterior angle is 180.

x be the exterior angle.

[tex] x+135=180,x=45 [/tex]

we have formula to find the number of sides [tex] n=360/exterior angle [/tex]

[tex] n=360/45=8 [/tex]

the regular polygon will have 8 sides .

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