Exterior Angles in Polygons WORKSHEET
Suitable for Grades: 7th Grade, Geometry
CCSS: 7.G.B.5, HSG.CO.A.1
CCSS Description: Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
Exterior Angles in Polygons WORKSHEET DESCRIPTION
This worksheet will help learners understand and calculate exterior angles in polygons. Each diagram is not drawn to scale so learners will need to apply their knowledge of angle properties and polygon rules to solve the problems.
Section A reinforces understanding through identification exercises where students highlight interior and exterior angles, complete fill in the blank statements about adjacent angle relationships, and identify correctly drawn exterior angles from multiple diagrams.
In Section B, learners will practice finding missing angles in irregular polygons; using the fundamental rules that exterior angles of any polygon sum to 360° and adjacent interior angles and exterior angles sum to 180°.
Section C progresses to regular polygons and Section D extends this knowledge, requiring students to answer questions without images such as “How many sides does a regular polygon have if each exterior angle is 40°?
Section A reinforces understanding through identification exercises where students highlight interior and exterior angles, complete fill in the blank statements about adjacent angle relationships, and identify correctly drawn exterior angles from multiple diagrams.
In Section B, learners will practice finding missing angles in irregular polygons; using the fundamental rules that exterior angles of any polygon sum to 360° and adjacent interior angles and exterior angles sum to 180°.
Section C progresses to regular polygons and Section D extends this knowledge, requiring students to answer questions without images such as “How many sides does a regular polygon have if each exterior angle is 40°?
