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Why are there four angles in a rectangle?

Published in Geometry 1 min read

A rectangle, by definition, is a quadrilateral (a four-sided polygon) with four right angles (90-degree angles). Therefore, rectangles inherently have four angles.

Defining a Rectangle

  • A quadrilateral is any closed, two-dimensional shape with four sides.
  • A rectangle is a special type of quadrilateral.
  • Right angles are angles that measure exactly 90 degrees.

The Relationship between Sides and Angles

The requirement of four sides directly implies the existence of four angles. Each vertex (corner point) where two sides meet forms an angle. Because a rectangle has four vertices, it must have four angles.

Summary

Because a rectangle is defined as a four-sided shape (quadrilateral) where all four interior angles are 90 degrees, it must, by definition, have four angles.

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