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

Question

Answer:

Answer: OctagonExplanation:

[tex] \cfrac{(n-2)\times 180}{n} = 135[/tex]

[tex]180n - 360 = 135n[/tex]

[tex]45n = 360[/tex]

[tex]n = 8[/tex]

8-gon = octagon

The Wise Orange remembers that Octopus has 8 feet, so Octagon has 8 sides.

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