MA.912.G.2.2 Interior and Exterior Angles of Polygons
Two-Dimensional
MA.912.G.1.1 Line Segments
MA.912.G.1.3 Parallel Line ∠s
MA.912.G.2.2 ∠ s of Polygons
MA.912.G.2.3 Prop of Polygons
MA.912.G.2.4 Transformations
MA.912.G.2.5 Perimeter & Area
MA.912.G.3.3 Prop of Quads
MA.912.G.3.4 Quad Theorems
MA.912.G.4.6 ~ & Triangles
MA.912.G.4.7 Inequality Theo
MA.912.G.5.4 Right Triangles
MA.912.G.6.5 Circle Measures
MA.912.G.6.6 Circle Equations
MA.912.G.8.4 Conjectures
Three-Dimensional
Trig & Discrete Math
In Your Text
Explore 4-2; 243
Section 4-2; 244-252
Section 6-1; 389-397
Extend 6-1; 398
What you Need To Know...
Determine the measures of interior and exterior angles of polygons, justifying the method used.
- The benchmark will be assessed using MC (Multiple choice) and FR (Fill in Response) items.
- Items may be set in either real-world or mathematical contexts.
Example One
A regular hexagon and a regular heptagon share one side, as shown in the diagram below.
Which of the following is closest to the measure of x, the angle formed by one side of the hexagon and one side of the heptagon?
A. 102.9°
B. 111.4°
C. 120.0°
D. 124.5°
Example Two
Claire is drawing a regular polygon. She has drawn two sides with an interior angle of 140°, as shown below.
When Claire completes the regular polygon, what should be the sum, in degrees, of the measures of the interior angles?