An interior angle of a regular polygon has a measure of 135°. what type of polygon is it? hexagon octagon nonagon decagon

its a octagon. e2020 approved, you can trust me

 The correct option is (B) octagon.

Step-by-step explanation:  Given that an interior angle of a regular polygon has a measure of 135°.

We are to select the type of the polygon from the given options.

We know that, if n represents the number of sides of a regular polygon and α be its exterior angle, then

Given that,

an interior angle of the regular polygon is 135°.

So, the measure of an exterior angle will be

Therefore, the number of sides of the regular polygon is

So, there are 8 sides of the polygon and hence it is an OCTAGON.

Thus, (B) is the correct option.

for the points! : )