Transcript 1.5 Angle Relationships

Angle Relationships
Pairs of Angles
 Adjacent <s (adj <s) - angles in same plane with
common vertex & side but no common interior points
 Vertical <s (vert <s) – 2 non-adjacent angles formed
by 2 intersecting lines
 Linear Pair (linear pr) – adjacent angles whose non-
common sides are opposite rays
Angle Relationships
 Complementary <s (comp) – 2 angles whose sum is
90˚
 Supplementary <s (supp) – 2 angles whose sum is
180˚
Examples
1.
20 comp ____
3. 20 supp ____
2. 93 comp ____
4. 93 supp ____
Find the measures of 2 supp angles if
one angle is 6 less than 5 times the
other angle:
Perpendicular Lines – lines that form
right angles
X
W
Y
Z
Example – What can/cannot be
assumed from the picture?
m<VYT = 90
<TYW & <TYU are supp
<VYW & <TYS are adj <s
Examples
1. Find measures of <ABG, <DBC, & <EBF:
D
2. Name an < adjacent to <EBD:
90
3. Name an < vertical to <DBA:
4. Name the compliment of <FBG:
5. Name the supplement of <ABC:
E
38
B
F
6. Which < forms a linear pair with <EBF?
7. Which pair of lines are perpendicular?
8. T or F: <DBC & <EBF are vertical <s.
C
30
G
A