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Interior angle = 3 x exterior angle.

Hence Int Ang + Ext Ang = 180

Substituting

3 x Ext + Ext = 180

4 Ext = 180

Ext Angle = 180 / 4 = 45 degrees.

And

Exterior Ang;e = 360 / number of sides.

number of sides = 360/ exterior angle

No. of sides = 360/45 = 8

Hence the number of sides of the polygon is '8' . It is named as an OCTAGON.

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lenpollock

Lvl 16
2w ago
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Wiki User

8y ago

It is a regular 8 sided octagon whereas each interior angle is 135 degrees and each exterior angle is 45 degrees.

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Q: What is the name of the regular polygon whose interior angle is treble its exterior angle?
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