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

Question

asked Jan 8, 2024 218k views

1 Answer

Chris Webb · Answer 1 · 2024-01-14T02:34:07+0000

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

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.

Since opposite angles in a parallelogram are congruent, if one angle is a right angle, then the opposite angle is also a right angle.
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.