Two angles that are next to each other, sharing a side and a vertex.
Adjacent Angles
Having the same measure (equal).
Congruent
What is the complement of 32o?
58o

Given lines m and n are parallel, what is the relationship between ∠5 and ∠8?
Vertical Angles
True or False
If two angles are congruent, you can find the value of X by adding the measures of the two angles and setting the sum equal to 180 degrees.
False
A line that intersects two or more parallel lines.
Transversal
Two lines that never intersect.
Parallel Lines
What is the supplement of 83o?
97o

Given lines m and n are parallel, what is the relationship between ∠3 and ∠6?
Alternate Interior Angles

Given lines m and n are parallel, m∠2 = 125o, and m∠7 = 5x. Find x.
x = 25
Two angles that add up to 180 degrees.
Supplementary Angles
A pair of opposite, congruent angles formed by two intersecting lines.
Vertical Angles
What is the complement of 44.8o?
45.2o

Given lines m and n are parallel, what is the relationship between ∠1 and ∠8?
Alternate Exterior Angles

Given lines m and n are parallel, m∠5 = 4x + 15, and m∠4 = 9x. Find m∠5.
m∠5 = 27o
Two congruent angles on opposite sides of the transversal and inside the parallel lines.
Alternate Interior Angles
Two congruent angles on opposite sides of the transversal and outside the parallel lines.
Alternate Exterior Angles
What is the supplement of 39.2o?
140.8o

Given lines m and n are parallel, what is the relationship between ∠4 and ∠6?
Same Side Interior Angles

Given lines m and n are parallel, m∠3 = 2x + 40, and m∠7 = 3x + 20. Find m∠3.
m∠3 = 80o
Two angles on same side of the transversal and inside the parallel lines.
Same-Side Interior Angles
Two congruent angles located in the same position, but on a different parallel line (1 inside and 1 outside the parallel lines).
Corresponding Angles
Two angles are supplementary. One angle is 12 degrees more than the other.
What is the measure of each angle?
96 degrees and 84 degrees

Given lines m and n are parallel, what is the relationship between ∠4 and ∠8?
Corresponding Angles

Given lines m and n are parallel, m∠4 = 5x + 44, and m∠6 = 6x + 48. Find m∠6.
m∠6 = 96o