What is the measure of each exterior angle in a regular dodecahedron?

1 Answer
Callum S.
Nov 15, 2015

#36# degrees.

Explanation:

The sides of a dodecahedron are regular pentagons, and there are three pentagons around a point in a dodecahedron. The sum of the interior angles of a pentagon are found by using the formula #(n-2) times 180#, which gives an answer of 540 degrees. When you divide this by the number of sides, in this case, 5, you get 108 degrees.

Because there are three pentagons around a point, to find the exterior angles in a dodecahedron, the formula is:
#360 -(108+108+108)=36#

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