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mhanifa

Answer:

Question 1

Given pentagon

Sum of interior angles:

  • S = (5 - 2)*180° = 540°

Sum of exterior angles is same for any polygon:

  • 360°

Question 2

Given hexagon

Sum of interior angles:

  • S = (6 - 2)*180° = 720°

Sum of interior angles of a given hexagon:

  • x + 120° + 156° + 145° + x + 9° + 90° = 720°
  • 2x + 520° = 720°
  • 2x = 200°
  • x = 100°

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