Interior and Exterior Angle Theorems

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Alternate exterior angles theorem

• Alternate exterior  angles converse

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Alternate exterior angles theorem

• Alternate exterior  angles converse

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Alternate exterior angles theorem

• Alternate exterior  angles converse

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Alternate exterior angles theorem

• Alternate exterior  angles converse

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

Using the given, determine if the conclusion is valid. If so, justify it.
Given:

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

• Not valid

• Alternate interior angles theorem

• Alternate interior angles converse

• Consecutive interior angles theorem

• Consecutive interior angles converse

What is the measure of angle b?

• 36^o

• 56^o

• 63^o

• 117^o

Find the missing angle.  Find x.

• 20^o

• 70^o

• 160^o

• 180^o