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Two regular octagons meet at a point with one square, leaving no gap, as shown. What is each angle of a regular octagon?

Class 7Tiling PatternsGeometry
  • A150°
  • B145°
  • C120°
  • D135°

Step-by-Step Solution

The square takes 90°. The two equal octagon angles share 360° − 90° = 270°, so each is 135°.
Answer: D) 135°

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