0
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!
Wiki User
∙ 12y ago
Add your answer:
Earn +20 pts
Are vertical angles congruent or supplementary angles?
Vertical angles are always, by definition, congruent. Note: If the two vertical angles are right angles then they are both congruent and supplementary.
Which types of angles are always congruent?
vertical angles are always congruent...they are two nonadjacent angles formed by intersecting lines. Vertical angles are congruent..or equal in measure
If two angles are vertical then what are they?
If two angles are vertical then they are congruent.
Two angles across from each other that will always be congruent are called?
opposite or vertical angles
Can two congruent lines are always vertical angles?
yes because they will always be 90 degrees
What are vertivle angles?
I think you mean vertical angles. Vertical angles are formed by two intersecting lines that make what looks like an X. Vertical angles are the two angles that are across from each other, either the top and bottom 2 angles or the left and right 2 angles. Vertical angles are also always congruent!
What is a vertical angle-?
Whenever two lines intersect, vertical angles refers to the angles opposite each other
What is the intersection of two angles?
Do you mean the two angles that are formed by two intersecting lines? If yes, they are called vertical angles and they are congruent.
Can an angle have two pairs of vertical angles and two pairs of congruent angles?
No. An angle can have only one angle!
What is a pair of congruent angles that are formed when two lines intersect?
Vertical angel
Are two angles congruent if and only if they are vertical?
Of course not. The right angles at the corners of my book are certainly not vertical with the right angles at the corners of your computer screen, but they're congruent. The "if" is true, but the "only if" is not. Verticality is sufficient but not necessary for congruence.
Is congruent angles always 45 degrees?
No. If two angles are congruent they have the same measure. But that measure can be anything.
