Unit 1 Day 4: Angle Pairs

Unit 1 Day 4: Angle Pairs

Objective: Students will identify and use special pairs of angles

Adjacent Angles

• Two angles that lie in the same plane and have a common vertex and a common side but no common interior points

• Two angles that are next to each other

Linear Pair

• A pair of adjacent angles with noncommon sides that are opposite rays

• Notice that the first 4 letters of linear spell line, so a linear pair forms a line.

Multiple Choice

Find the value of x in the diagram so that the angles form a linear pair

• 118

• 62

• 72

• 68

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

• x = 62

Multiple Choice

Which angle is a linear pair with $\angle1$  ?

•  $\angle2$  

•  $\angle3$  

•  $\angle4$  

•  $\angle5$  

•  $\angle6$  

Vertical Angles

• two nonadjacent angles formed by 2 intersecting lines

• Vertical angles are congruent ( $\cong$  )

Multiple Choice

Which angle is a vertical angle to with $\angle7$  ?

•  $\angle1$  

•  $\angle5$  

•  $\angle3$  

•  $\angle6$  

•  $\angle9$  

Multiple Choice

Find the missing angle.  Find x.

• 20^o
• 70^o
• 160^o
• 180^o

Multiple Choice

Which angles are vertical angles?

• $\angle8\ \ and\ \angle7$

• $\angle8\ and\ \angle6$

• $\angle8\ and\ \angle5$

Complementary Angles

• Two angles with measures that have a sum of  $90\degree$  

• The angles do not have to be adjacent.

• We say that one angle is the complement of the other

Supplementary Angles

• Two angles with measures that have a sum of  $180\degree$  

• The angles do not have to be adjacent

• One angle is the supplement of the other

• All linear pairs are supplementary

Multiple Choice

What type of angles are these?

• Adjacent Angles

• Linear Pair

• Complementary Angles

• Supplementary Angles

• Vertical Angles