Angles from Intersecting Line

In this picture, two parallel lines are cut by a third line, called a transversal. How many vertical angle pairs can you find?

• 2 pairs of vertical angles

• 3 pairs of vertical angles

• 4 pairs of vertical angles

• 8 pairs of vertical angles

In this picture, two parallel lines are cut by a third line, called a transversal. What is the maximum number of Linear Pairs of angles you can find?

• 2 Linear Pairs

• 4 Linear Pairs

• 6 Linear Pairs

• 8 Linear Pairs

• Sweet!

• Cool.

• Right on.

So, if m∠2+m∠4=180° and m∠6=m∠2, we can substitute to get this equation:  m∠6+m∠4=180°.  Conclude

• They are congruent

• They form vertical angles

• They form a linear pair

• They are non-adjacent angles

• They are non-adjacent angles

This is what kind of angle?

• obtuse

• right

• straight

• acute

Vertical angles are always

• acute

• total 180 degrees

• congruent (equal measures)

• adjacent angles