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If one angle of a parallelogram is a right angle prove that all other angles are right angles.

User Wyz
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Final answer:

If one angle of a parallelogram is a right angle, then all other angles are right angles.

Step-by-step explanation:

If one angle of a parallelogram is a right angle, then all other angles are right angles.

To prove this, we can use the properties of a parallelogram.

  1. Since opposite angles in a parallelogram are congruent, if one angle is a right angle, then the opposite angle is also a right angle.
  2. Similarly, since consecutive angles in a parallelogram are supplementary, if one angle is a right angle, then the adjacent angle is also a right angle.

Therefore, if one angle of a parallelogram is a right angle, all other angles are right angles.

Learn more about Parallelogram angles

User Chris Webb
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