Question

Geometry math question please help

Answer 1

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.

Answer 2

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.

$x+135=180,x=45$

we have formula to find the number of sides $n=360/exterior angle$

$n=360/45=8$

the regular polygon will have 8 sides .