Download Exploring Angle Pairs

Exploring Angle Pairs
Chapter 1 Section 5
Objective

Students will identify special angel paris and
use their relationships to find angle measures.
2
Types of Angle Pairs
1.
2.
3.
4.
Adjacent Angles
Vertical Angles
Complementary Angles
Supplementary Angles
Adjacent Angles

Two coplanar angles with a common side,
common vertex, and no common interior points.
Vertical Angles


Two angles whose sides are opposite rays.
They make an X.
Complementary Angles



Two angles whose measures have a sum of 90.
Each angle is called the complement of the
other.
The angles do not have to be adjacent.
Supplementary Angles



Two angles whose measures have a sum of 180.
Each angle is called the supplement of the other.
The angles do not have to be adjacent.
Turn to Page 35...

Look at Problem 1...

Try the “Got It” problem for that example.
8
Linear Pair

A pair of adjacent angles whose noncommon
sides form a line (or are opposite rays).
Angle Bisector



A ray that divides an angle into two congruent
angles.
The rays all share the same vertex
Both angles formed will either be marked
congruent or the interior ray will be labeled a
bisector.
Linear Pair Postulate
Postulate 1-9

If two angles form a linear pair, then they are
supplementary.
11
Turn to Page 36..

Look at Example 3...

Try the “Got It” problem for that example.
12
On page 37...

Try problems #1-6 on your own.

Raise your hand when you are finished.
13