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GPS Alignment: Instructor Page
Week 9: Geometry - Points, Lines, & Planes


Sum of Exterior Angles (Printable PDF)


What is the sum of the exterior angles in a triangle? in a quadrilateral? in a pentagon? What is true about the sum of the exterior angles in any convex polygon? Why?

 

GPS

As seen in Problem Exploration

M6G1. Students will further develop their understanding of plane figures.
 

Students will have to understand what a convex polygon is determining the relationship of the sum of the exterior angles of any convex polygon.
 

M7G1. Students will construct plane figures that meet given conditions.
 

Students will have to construct convex polygons.

M7A1. Students will represent and evaluate quantities using algebraic expressions.

c. Add and subtract linear expressions.

An equation can be set up for the sum of the exterior angles:
N*180 =  sum of the interior and exterior angles
(N-2) *180 = sum of interior angles.  
So N*180 – (N-2)*180 = Sum of Exterior angles.

 

M8A1.  Students will use algebra to represent, analyze, and solve problems.

b. Simplify and evaluate algebraic expressions.
 

An equation can be set up for the sum of the exterior angles (see above).