MATH SOLVE

4 months ago

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

Accepted Solution

A:

Answer: Octagon

Explanation:

[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.

Explanation:

[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.