1 5 exploring angle pairs
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1-5: Exploring Angle Pairs. Types of Angle Pairs. Adjacent angles are two angles with a common side, common vertex, and no common interior points (next to). Vertical angles are two angles whose sides are opposite rays (across from). Types of Angle Pairs, con’t.

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Presentation Transcript
types of angle pairs
Types of Angle Pairs
  • Adjacent angles are two angles with a common side, common vertex, and no common interior points (next to).
  • Vertical angles are two angles whose sides are opposite rays (across from).
types of angle pairs con t
Types of Angle Pairs, con’t
  • Complementary angles are two angles whose measures have a sum of 90.
    • Each angle is the complement of the other.
  • Supplementary angles are two angles whose measures have a sum of 180.
    • Each angle is the supplement of the other.
identifying angle pairs
Identifying Angle Pairs
  • Using the diagram, decide whether each statement is true.
    • BFD and CFD are adjacent angles.
    • AFB and EFD are vertical angles.
    • AFE and BFC are complementary.
    • AFE and CFD are vertical angles.
    • DFE and BFC are supplementary.
    • AFB and BFD are adjacent.
making conclusions from a diagram
Making Conclusions from a Diagram
  • Using the diagram, which angles can you conclude are…

…congruent?

…vertical angles?

…adjacent angles?

…supplementary angles?

making conclusions from a diagram1
Making Conclusions From a Diagram
  • Using the diagram, can you conclude the following:

?

?

TWQ is a right angle?

bisects ?

linear pairs
Linear Pairs
  • A linear pair is a pair of adjacent angles whose noncommon sides are opposite rays.
    • The angles of a linear pair form a straight line.

Linear Pair Postulate: If two angles form a linear pair, then they are supplementary.

finding missing angle measures
Finding Missing Angle Measures
  • KPL and JPL are a linear pair, mKPL = 2x + 24, and mJPL = 4x + 36.
  • What are the measure of KPL and JPL?
abc and dbc are a linear pair m abc 3 x 19 and m dbc 7 x 9 what are the measures of abc and dbc
 ABC and DBC are a linear pair.mABC = 3x + 19 and mDBC = 7x – 9. What are the measures of ABC and DBC?
angle bisectors
Angle Bisectors
  • An angle bisector is a ray that divides an angle into two congruent angles.
  • Its endpoint is at the angle vertex.
using an angle bisector
Using an Angle Bisector
  • AC bisects DAB. If mDAC = 58, what is mDAB?
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