Angles that add up to 90 degrees.
Complementary
∠1 and ∠2 are complementary angles. Given m∠1 = 83 degrees. What is the m∠2?
m∠2 = 7 degrees

What are ∠5 and ∠3 to each other?
Vertical

Classify ∠1 and ∠7.
Corresponding angles
Solve for x.

x = 109
Angles that add up to 180 degrees.
Supplementary
∠3 and ∠4 are supplementary angles. Given m∠3=116 degrees, what is the m∠4?
m∠4 = 64 degrees
Identify a pair of alternate interior angles
3 and 6
4 and 5

Classify ∠2 and ∠6
alternate exterior angles
Solve for x.

x = 15
Congruent angles that lie on the same side of the transversal t and the same side of lines a and b.
Corresponding Angles

BFD

Identify a supplementary pair in the figure.
∠5 and ∠4

Classify ∠5 and ∠6
Supplementary Angles

x = 7
Congruent angles that are nonadjacent that lie on opposite sides of the transversal t, between lines a and b.
Alternate Interior Angles
Find the value of x.

x = 15
Identify a pair of alternate exterior angles.
2 and 7
1 and 8

Classify ∠3 and ∠4
Same-Side interior angles

x = 8
Two angles whose sides form 2 pairs of opposite lines.
What is vertical angles?
What is the value of x?


Vertical Angles

Classify ∠7 and ∠5
vertical angles
Solve for x.

x = 33