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Find the unknown angle x in each pentagon using the given exterior angles.

Two geometric diagrams showing pentagons with exterior angles labeled, each asking to find the unknown 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°. Therefore, angle x = 360° - 305° = 55°.
- For "Your Turn": The sum of the exterior angles of any polygon is 360°. The given exterior angles are 115°, 95°, and 50°. Adding these gives 260°. Therefore, angle x = 360° - 260° = 100°.

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

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(view all interior angles of a polygon worksheet)