1.5 Angle Relationships.notebook - Mrs. Foy's Classroom

1.5 Angle Relationships.notebook
August 23, 2012
1­5: Angle Relationships
Angles
Adjacent
Drawing
Definition
common vertex
and side but no
common interior
points
Example 1
MN and OP intersect point D.
Find x and m

1.5 Angle Relationships.notebook
August 23, 2012
Example 4
63
11x + 2
5x ­ 13
NOTE:
The supplement of an angle is (180­x)
The complement of an angle is (90­x)
Aug 13­7:27 AM
Aug 13­7:49 AM
Example 5
Word Problem
The measure of the supplement of an angle is 60
less than three times the measure of the complement
of the angle. Find the measure of the angle.
Try These
a.) The measure of the supplement of an angle is 2.5
times as large as the measure of a complement of the
angle. Find the measure of the angle.
Aug 13­7:27 AM
Sep 4­12:25 PM
Perpendicular Lines
Two lines that intersect to form
four right angles .
l
M
Remember another symbol...
Symbol for
perpendicular
Example 6
AD BE,

1.5 Angle Relationships.notebook
August 23, 2012
Example 7
Find x, then determine if AB CD.
a.)
b.)
Try These
Do NOT assume the lines are perpendicular.
b.
Find x.
6x ­ 3
c.
2x + 15
6x + 20
8x + 10
10x­10 5x+40
7x ­ 11
5x + 5
x ­ 5
3x ­ 12
Aug 13­7:28 AM
Sep 4­12:28 PM
?
Example 8
1.