Download Exterior Angle Sum

Exterior Angle Sums
GEOMETRY
NAME_________________________
Polygons
DATE __________ Per.___________
∠2,
∠4,
and
∠6
are
exterior
angles
of
the
partial
polygon
pictured.
1.
Use the terms adjacent, supplementary, and linear pair towrite a definition for an
exterior angle of a polygon in a biconditional (if and only if) statement.
6
5
4
3
1 2
2.
Measure each exterior angle and calculate the sum for this quadrilateral.
Measure
each exterior
angle and calculate
the sum for this triangle.
3.
Sum of
exterior ∠’s =
Sum of
exterior ∠’s =
4.
Draw the remaining exterior angles for each regular polygon below.
Find the measure of each exterior angle (HINT: supplementary to interior angle).
Calculate the exterior angle sum.
a)
b)
Sum of triangle’s
exterior ∠’s =
c)
Sum of square’s
exterior ∠’s =
5. What would you guess is the exterior angle sum of any convex
Sum of hexagon’s
exterior ∠’s =
polygon?