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Chapter 1.5: Describe Angle Pair Relationship
Goal: Identify special angle pairs and use their relationship to find
angle measures.
Vocabulary
Complementary angles:
Supplementary angles:
Adjacent Angles:
Linear Pair:
Vertical angles:
Angle Bisector:
Example One:
In the figure,
a. Name a pair of complementary angles.
b. Name a pair of supplementary angles.
c. Name a pair of adjacent angles.
Example Two:
1 is a complement of 2 and
m2  57 ,Find m1 .
a. Given that
3 is a supplement of 4 and
m4  41 ,Find m3 .
b. Given that
Example Three: Check point
In the figure,
a. Name a pair of complementary angles.
b. Name a pair of supplementary angles.
c. Name a pair of adjacent angles.
Example Four:
1 is a complement of 2 and
m1  37 ,Find m2 .
a. Given that
3 is a supplement of 4 and
m4  37 ,Find m3 .
c. Given that
Example Five:
The basketball pole forms a pair of supplementary angles
with the ground.
a. Find
mBCA and mDCA ..
Challenge:
b. If mBCA  (2 x  8) and mACD  ( x  49)
Find value of x such that basketball pole becomes the
angle bisector of mBCD .
Example Six:
In Example Five, suppose the angle measures are (5x +1)o and
(6x +3)o. Find m BCA and DCA
Example Seven:
Identify all of the linear pairs
and all of the vertical angles
in the figure at the right.
Example Eight:
Postulate 9: If two angles form a linear pair, then they are
supplementary.
Example Nine:
ABC and DBC are linear pair, mABC  3x 19 and
mDBC  7 x  9 . What are the measures of ABC and DBC ?
Example ten:
Two angles form a linear pair. The measure of one angle is 4 times
the measure of the other. Find the measure of each angle.
Example Eleven:
Two angles form a linear pair. The measure of one angle is 3 times
the measure of the other. Find the measure of each angle.