Geometry SOL G.3, G4 Angles (1.4 1.5) NOTES
Ms. Graham/Ms. Fonte
Name: _______________________________ Date: _____________ Block: _______
Angle Review:
angle
Two different _____________ with the same ____________.
Name using three points with _____________ in center (  CAB), by
vertex alone, or with a lower case letter.
classifying
angles
measuring
angle pairs
(Note: angles
greater than 180o
are called reflex
angles)

Use a protractor (see protractor postulate)

Calculate based on other give angle measures
Complementary Angles:
______________
Supplementary Angles:
______________
______________
______________
Linear Pair:
Vertical Angles:
_______ and _______ are a linear pair.
_______ and _______ are vertical angles.
_______ and _______ are vertical angles.
1
Geometry SOL G.3, G4 Angles (1.4 1.5) NOTES
Ms. Graham/Ms. Fonte
Find the angle measures for each of the following angles:
Postulates:
Protractor Postulate
Consider OB and a point A on one side of OB . The rays of
the form OA can be matched one to one with the real numbers
from 0 to 180. m  AOB = | OA - OB |.
Angle Addition Postulate
If P is in the interior of  RST, then m  RST = m  RSP + m  PST.
Given that m<LKN = 145o, find m<LKM and m<MKN.
2
Geometry SOL G.3, G4 Angles (1.4 1.5) NOTES
Ms. Graham/Ms. Fonte
Angle Congruence:
Two angles are congruent (≅) if they have the same _______________ (don't confuse congruence with
equality!).
Angle measures are equal
Angles are congruent
“___________________”
“___________________”
Angle Bisector:
An angle bisector is a _________ that divides an angle into two ___________________ angles.
1.) Suppose YW biscets <XYZ and m<XYW=18o. Find m<XYZ.
2.) Suppose YW biscets <XYZ and m<XYW=(2x+1)o, m<XYW=(x+11)o Find
m<XYZ.
3
Geometry SOL G.3, G4 Angles (1.4 1.5) NOTES
Ms. Graham/Ms. Fonte
You try:
a)
b) Given m  WXZ=80o,
1) Name 4
angles in
the figure
at right
find m  YXZ.
c) Given WZ bisects  XWY,
find  ZWY and  XWY.
2) measure them, and
3) label acute, right, straight, or
obtuse.
d) Name a pair of supplementary
angles and a pair of
complementary angles. Name a
pair of adjacent angles.
e) Find m  DEG and m  GEF.
f)  A and  B are
complementary.  C and  D are
supplementary. Find the measure
of the angles if:
1) m  A=(3x + 2)o
m  B=(x - 4)o
2) m  C=(8x + 100)o
m  D=(2x + 50)o
g) Find the values of x and y.
4