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Answers to homework (page 11 in packet)
problems
1. PQ=
524
2. PQ=
1566
3. PQ=
69
PR=
89
QR=
38
4. PQ=
38
PR=
138
QR=
38
5. PQ=
21
PR=
66
QR=
29
18. 2 131
19. 3 174

Warm-up
Fill in the blanks.
R
1. The endpoint of RQ is _________.
2. Line segments with equal measures are
congruent 
_____________.
3. A rule of geometry that is accepted
postulate
without proof is a ______________.
4. A pair of opposite rays form a
line
____________.
Objective: Students will be able to use
angle postulates and classify angles.
An angle consists of 2 rays share by a
common initial point. The common point
is called vertex. The two rays are called
sides.
B
vertex
sides
A
C
B
exterior
interior
A
C
B
interior
exterior
A
C
Acute and Obtuse Angles
B
The measure of an acute angle is
greater than 00 but less than 900.
A
0  mCAB  90
0
C
 measure of an obtuse angle is
The
less than 1800 but greater than 900.
B
90  mBAC 180
0
A
C
0
0
Right and Straight Angles
B
The measure of a right angle is
exactly 900. mCAB  90 0
C
A

The measure of a straight angle is
0
exactly 1800.
mBAC 180
B
A
C
Adjacent Angles
R
800
P
S
680
T
PST is adjacent to RSP
Angle Addition Postulate

mPST
 mRSP  mRST
Congruent Angles
D
O
730
B
730
A
G
C
mDOG  730
mBAC  73
mDOG  mBAC
DOG  BAC
0
YOUR TURN!
(1-4)Draw and carefully label the figures.
1. Acute angle SAM with a measure of 450.
2. Right angle RTE
3. Obtuse angle BIG with angle bisector IE
4. Q is in the interior of angle ROS. S is in the
interior of angle QOP.
5. Find the measure of each angle. ∠SAM is a

straight angle.
E
(6x+1)o
S
A
(2x)o
M
1.
M
Acute angle SAM with a
measure of 450.
T
1.
R
A
S
Right angle RTE
E
G
1.
1.
1.
Obtuse angle BIG with
angle bisector
B
(6x 1)  2x  180
Q is in the interior of
angle ROS. S is in the 8x 1  180
interior of angle QOP.
8x  179
x  22.375
R
I
Q
O
S
P
Find the measure of
mSAE  135.25 ,mMAE  44.75
each angle. ∠SAM is a
straight angle.