Nope one angle can be 45 degrees while the other one can be 55 degrees
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Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.
No
always
Two angles that are congruent have the same angle measurement.
Well, honey, a parallelogram has a grand total of zero acute angles. It's all about those congruent opposite angles being the same size, which means they're either both obtuse or both acute. So, if you're looking for acute angles, you better go find yourself a different shape to play with.