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The sum of the measures
of the interior angles of a triangle is 180 degrees.
Since all the sides
of equilateral triangles are the same length, all the angles
are the same...
The interior angles
of an equilateral triangle are all 60 degrees.
What about a square?
That's easy! By definition, all
the interior angles of a square are right angles -- That means
that they are all 90 degrees.
What about other regular polygons?
To figure out the measure of the
interior angles of a regular pentagon, hexagon, heptagon,
etc, we need more than just a protractor! What if we needed
to find the interior angle of a regular polygon with 100 sides?
That might be a little difficult to draw!
Here are two methods to find the
measure of the interior angles of a regular polygon:
For both methods, we will use
the fact that the sum of the measures of the interior angles
of a triangle is 180 degrees!
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