### Corresponding angles

**Definition**:

**The corresponding angles are those that are on the same side of the transversal that cuts two** **parallel lines** **and are at the same level with respect to the parallel line. The corresponding angles are of the same size.**

The following image illustrates two pairs of corresponding angles, the first ones have been painted red and the others blue.

#### Identifying Corresponding Angles:

Corresponding angles occur in pairs and can be located by finding angles that are in the same relative position at each intersection. When the lines crossed by the transversal are parallel, the corresponding angles are always equal.

**Other Angles:**

In addition to alternate angles, several other angle relationships occur when a transversal crosses parallel lines.

**Adjacent angles**: Two angles that share a common side and vertex.**Vertically opposite angles**: Angles directly across from each other when two lines intersect, always equal.**Collateral angles**: Also known as co-interior angles, these sum to 180°.**Alternate angles**: Angles on opposite sides of the transversal that intersects two parallel lines and are not on the same side of the parallel lines to which they belong.