Two angles that add up to 90 degrees
Complimentary Angles
Angle 3 and Angle 6
Alternate (or Opposite) Interior Angles

What is the measure of angle 1?
24 Degrees

What theorem allows us to say that m<1=58
Vertical Angles Theorem
Two angles that add to 180 degrees
Supplementary Angles

Angle 1 and Angle 8
Alternate (or Opposite) Exterior Angles

What is the measure of angle 2?
66 degrees
What reason can be given for
m<10+m<11=180
Definition of Linear Pair
Two angles that form a straight line
Linear Pair

Angle 3 and Angle 5
Same-Side Interior Angles

What is the measure of angle 3?
156 degrees

What theorem allows us to say
m<1+m<2+m<3=180
Triangle Sum Theorem
Two angles across from each other when two lines intersect
Vertical Angles

Angle 5 and Angle 1
Corresponding Angles

What is the measure of <QRS?
97 degrees

Why must m<1=m<5?
Corresponding Angles Theorem
Two angles that are next to each other and share a side
Adjacent Angles

How are the measurements of Angle 4 and Angle 6 related?
Supplementary (add to 180)

What is the measure of <UVX?
131 degrees
"If "angle7congangle5" and "angle5congangle12" then "angle7congangle12
Transitive Property of Congruence