Any line that intersects two or more parallel lines.
Transversal
Straight lines that never intersect
Parallel lines
What is the relationship between angles 3 and 6?
alternate interior angles
What is the relationship between angles 2 and 6?
corresponding angles
What is the angle relationship between angles 2 and 8?
same-side exterior angles
Two angles whose measures add up to 180 degrees
Supplementary angles
Two angles whose measures add up to 90
Complementary angles
If the measure of angle 2 is 37 degrees, what is the measure of angle 7? What is the angle relationship?
37 degrees; alternate exterior angles
If angle 2 is 60 degrees, what does angle 3 equal? What is the angle relationship?
60 degrees; vertical angles
If angle 1 is equal to 95, what is angle 4 equal to? What is the angle relationship?
85 degrees; linear pair
When 2 parallel lines are both intersected by a transversal, these angles occupy the same position but at different intersections
Corresponding angles
A pair of adjacent angles formed by intersecting lines. These angles are also supplementary.
Linear Pair
If the measure of angle 4 is 112 degrees, what is the measure of angle 6? What is the angle relationship?
68 degrees; same-side interior angles
If the measure of angle 2 is 30 degrees, what is the measure of angle 6? What is the angle relationship?
30 degrees; corresponding angles
Given that angle 2 is 82 degrees, what does angle 3 and angle 4 equal?
Angle 3 = 82 degrees (vertical angles) and angle 4 = 98 degrees (linear pair)
Congruent angles formed by two intersecting lines. These angles are located across from each other, sharing only a vertex.
Vertical angles
If two parallel lines are intersected by a transversal, these angles are located on the outside of the two parallel lines on opposite sides of the transversal.
Alternate exterior angles
If angle 4 = 3x+7 and angle 5 = 4x-2, find the value of x.
x = 9
If angle 2 = 3y+24 and angle 3 = 7y-16, find the value of y.
y = 10
If angle 3 = 3p+60 and angle 5 = 60 degrees, find the value of p.
p = 20
When 2 parallel lines are both intersected by a transversal these angles are inside of the two parallel lines and on opposite sides of the transversal.
Alternate interior angles
When 2 parallel lines are both intersected by a transversal these angles are inside of the two parallel lines and on the same side of the transversal.
Same-side interior angles (consecutive interior angles)
If angle 5 = 4x+10 and angle 7 = 2x+20, what is the measure of angle 4?
110 degrees
Find the value of x.
x = 20
If angle 1 = 5n and angle 8 = 2n+66, find the measure of angle 2.
70 degrees