audreyandrade11 audreyandrade11
  • 07-02-2024
  • Mathematics
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Each exterior angle of a regular polygon is 45°. What is the sum of the interior angles of the polygon?

Each exterior angle of a regular polygon is 45 What is the sum of the interior angles of the polygon class=

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carolinecurtis26
carolinecurtis26 carolinecurtis26
  • 07-02-2024

Answer: 1080

Step-by-step explanation:

1 Find the number of sides using the formula: 360°/exterior angle = number of sides

2 Substitute the exterior angle (45°) into the formula: 360°/45° = 8 sides

3 Use the formula for the sum of interior angles: (n-2) * 180° where n is the number of sides

4 Substitute the number of sides (8) into the formula: (8-2) * 180° = 6 * 180° = 1080°

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