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Use the sum of exterior angles theorem (360 degrees) to solve for x in these polygon problems.

Geometry worksheet showing two polygon exterior angle problems labeled My Turn and Your Turn to find angle x.

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Show Answer Key & Explanations Step-by-step solution for: Exterior Angles of Convex Polygons - Opinions Nobody Asked For

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- For "My Turn": The sum of the exterior angles of any polygon is 360°. The given exterior angles are 70°, 80°, 75°, and 80°. Adding these gives 305°. Subtracting from 360° gives x = 55°.
- For "Your Turn": The sum of the exterior angles of any polygon is 360°. The given exterior angles are 115°, 95°, 50°, and x. Adding the known angles gives 260°. Subtracting from 360° gives x = 100°.

Parent Tip: Review the logic above to help your child master the concept of exterior angles of a polygon worksheet.

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Exterior Angles of Convex Polygons – Opinions Nobody Asked For