This lesson explains about the properties and relationship of angles of
polygons
in general and particularly of Interior and Exterior angles of Polygon. The
presentation covering such content will be done by the instructor in own handwriting,
using video and with the help of several examples with solution.
Any polygon, regular or irregular, simple or selfintersecting,
has as many corners as its sides. Each corner has several angles. The two adjacent
sides and the vertex of polygon define an angle. The measure of an
angle
refers to the amount of rotation needed such that one of the
line segments should
superimpose onto the other. More often when the angles of a polygon are referred,
it would mean interior angles.
(More text below video...)
(Continued from above)
You may notice the important property of polygons:
all polygons with the same number of sides have the same sum of interior angles.
For example: if you add the three interior angles of any triangle (3 side polygon),
it’ll result up to 180°. Similarly four angles of any quadrilateral (4 side polygon)
will add up to 360°, and for pentagon it will be 540°. When you walk through some
practice exercises; would learn that for the polygon with 3 sides, sum of interior
angles is 180°. For every additional side than three, 180 degrees is added to the
sum. E.g. the sum of interior angles of quadrilateral shall be (180 + 180) = 360°.
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