Best Answer

No. An angle can have only one angle!

Q: Can an angle have two pairs of vertical angles and two pairs of congruent angles?

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Vertical angles

If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.

Those are "vertical" angles, even if there's nothing vertical about them.

Angle Angle Side is a method one can use to prove that two triangles are congruent. Basically, if any two pairs of angles and the side between these angles are congruent, then the triangles are congruent as well.

Such angles are called vertically opposite angles.

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Vertical angles

A+

If the parallelogram is a square then angle A is congruent to angle B ,is congruent to angle C. AB is congruent to BC is congruent to CD.

they are congruent: exactly equal

Those are "vertical" angles, even if there's nothing vertical about them.

Yes they are. Or they could have three pairs of congruent sides, or they could have one pair of congruent angles and two pairs of sides. As far as a triangle goes, if you have at least three pairs of congruent sides or angles they are congruent. This answer is wrong. The triangles are only similar. For congruent trisngles we have the following theorems = Side - side - side, Side - Angle - side , Angle - angle - side, Right triangle - hypotenuse - side.

Angle Angle Side is a method one can use to prove that two triangles are congruent. Basically, if any two pairs of angles and the side between these angles are congruent, then the triangles are congruent as well.

Actually, It is this. Question: Angle 1 and 4 are called ___ angles? Answer: Supplementary

Corgent Angles

Such angles are called vertically opposite angles.

Charles is correct

Do you mean "Are two vertical angles always congruent?" Vertical angles are always congruent, but congruent angles do not have to be vertical. Any two angles with the same angle measurement are considered congruent by definition. The reason why vertical angles are always congruent is explained below. Imagine (or draw) an X forming 2 pairs of vertical angles. ∠1 is to the left, ∠2 is on top, ∠3 is to the right, and ∠4 is on the bottom. Vertical angles are always congruent because ∠1 and ∠2 are supplementary, meaning that their measures add to 180 degrees. The measures of ∠2 and ∠3 also add to 180 degrees. This means that m∠1+m∠2=180 and m∠2+m∠3=180. Using the Transitive Property, it becomes m∠1+m∠2=m∠2+m∠3. If you subtract the measure of ∠2 from both sides, it becomes m∠1=m∠3. I hope that helped!