Parallel Lines, Angles, and Equations

Parallel Lines, Angles, and Equations

​

Using Parallel Lines and Angles to Solve

• You still need to determine what type of angles are being shown (corresponding, alternate interior, etc.)

• Then decide whether that type of angle pair is congruent (meaning equal) or supplementary (meaning adds to 180).

• Next you use the relationship to write an equation to solve. It should either be ______ = ______ OR ______ + ______ = 180.

• Always make sure you answer the question being asked.

Multiple Choice

What type of angles?

• alternate interior

• supplementary (linear pair)

• corresponding

• vertical

Multiple Choice

What is the relationship?

• congruent (equal)

• supplementary (add to 180)

Multiple Choice

What is the missing angle?

• 36

• 131

• 49

• 48

Multiple Choice

What type of angles?

• alternate exterior

• corresponding

• vertical

• same side interior

Multiple Choice

What equation?

• ______ = ______ (congruent)

• ______ + ______ = 180 (supplementary)

Multiple Choice

What is the value of x?

• 11

• 9

• 4

• -2

Multiple Choice

What type of angles?

• corresponding

• vertical

• alternate exterior

• same side interior

Multiple Choice

What equation?

• ______ = ______ (congruent)

• ______ + ______ = 180 (supplementary)

Multiple Choice

What is the value of the BOLDED angle (45x)?

• 105

• 65

• 90

• 95