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Question 27

In a parallelogram, which statement about its angles is always true?

  1. All four angles are equal.
  2. Every angle is smaller than 90 degrees.
  3. Angles that share a side are equal to each other.
  4. Angles opposite each other are equal.Correct answer

Explanation

Opposite corners of a parallelogram carry the same angle, because each pair of parallel sides makes the matching angle repeat on the far side of the shape. Demanding that all four angles agree would push every one of them to 90 degrees and turn each parallelogram into a rectangle, which the definition never asks for.

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Question 27: In a parallelogram, which statement about its angles is… · Geometry Basics · Questena