A transversal is a line that intersects two or more coplanar lines at two different points. Let's analyze $∠ 5$ and $∠ 6$ on the given diagram.

As we can see,

∠ 5

and

∠ 6

are formed by line

m

and line

n

and transversal

p .

They do not have a common side or a point, so the angles are nonadjacent. Also, these are exterior angles that lie on opposite sides of transversal

p .

Therefore,

∠ 5

and

∠ 6

Transersal Angle Pair Relationships

Let's review all of the transversal angle pair relationships. We will use the graph below as an example.

Now let's take a look at the different types of angle pairs and their definitions.

Pairs of Angles
Type	Definition	Example
Interior Angles	They lie in the region between lines $a$ and $b .$	$∠ 4$ and $∠ 5$
Exterior Angles	They lie in the two regions that are not between lines $a$ and $b .$	$∠ 1$ and $∠ 7$
Consecutive Interior Angles	They are interior angles that lie on the same side of transversal $t .$	$∠ 3$ and $∠ 5$
Corresponding Angles	They lie in corresponding positions on the same side of the transversal $t .$	$∠ 2$ and $∠ 6$
Alternate Interior Angles	They lie between lines $a$ and $b$ on opposite sides of the transversal $t .$	$∠ 3$ and $∠ 6$
Alternate Exterior Angles	They lie outside lines $a$ and $b$ on opposite sides of the transversal $t .$	$∠ 2$ and $∠ 7$

Exercise