## What is the vertical angles congruence theorem?

Why We Must Know the Vertical Angle Theorem This theorem says that when two straight lines intersect, they form two sets of linear pairs with congruent angles. It also means that the adjacent angles formed by the intersection of these two lines are supplementary, or equal to 180 degrees.

## How do you solve vertical congruent angles?

Vertical angles are angles in opposite corners of intersecting lines. Solve for the variable. Use the fact that vertical angles are congruent to complete the triangle on the right. The angle measuring ( 4 x + 8 ) ∘ (4x+8)^\circ (4x+8)∘ has a vertical angle inside the triangle on the right.

**Do vertical angles prove congruence?**

Proving that vertical angles are equal.

### What is vertical math?

“Vertical” refers to the vertex (where they cross), NOT up/down. They are also called vertically opposite angles.

### What are vertical angles?

Vertical angles are a pair of opposite angles formed by intersecting lines. In the figure, ∠1 and ∠3 are vertical angles. So are ∠2 and ∠4 . Vertical angles are always congruent .

**Are vertical angles supplementary or congruent?**

Theorem:Vertical angles are always congruent. In the figure, ∠1≅∠3 and ∠2≅∠4. Proof: ∠1and∠2 form a linear pair, so by the Supplement Postulate, they are supplementary.

#### Do vertical angles add up to 180?

Facts About Vertical Angles- Angles from each pair of vertical angles are known as adjacent angles and are supplementary (the angles sum up to 180 degrees).

#### Which of the following angle pairs is vertical angles?

Vertical angles are supplementary angles when the lines intersect perpendicularly. For example, ∠W and ∠ Y are vertical angles which are also supplementary angles. Similarly, ∠X and ∠Z are vertical angles which are supplementary.

**What are vertical angles examples?**

Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other. Real-life settings where vertical angles are used include; railroad crossing sign, letter “X”, open scissors pliers etc.