Homework on Angle Measure
Geometry 1 Name:
Worksheet: Angle Measure #1
Problems 1-4: Print this page and then use a protractor to measure the angles to the nearest degree. Then fill in the answers.
1. 2.
3. 4.
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5.
Suppose
QRT
and
QRS
are adjacent angles,
QRT
measures
40
, and
SRT measures
60
. Then what is the measure of
QRS
?
6.
Suppose ray GH bisects
KGP
and
KGH measures
35
. Then what is the measure of
KGP ?
Problems 7-16: Refer to the diagram below:
C
ABC is a right angle,
ABE and GBD are straight angles.
D
B 29 o
A E
22 o
G
F
7. How many degrees does
ABD
measure? 8.
CBD
measures
9.
ABG measures 10.
ABF measures
11.
FBE
measures
13. Name a pair of complementary angles.
and
15. Name an angle that is adjacent to
GBF
.
12. Name a pair of vertical angles.
and
14. Name a pair of supplementary angles. and
16. Name an angle that is congruent to
DBE .
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Problems 17-24: Draw a diagram for each, and then answer the question.
17. Suppose that
MON
and
PON
are adjacent,
MOP
is a right angle, and the measure of
PON
is 32 o
. Then what is the measure of
MON
?
18. Suppose A , B and C are collinear, B is between A and C , P is a point not anywhere on the line through points A and C ,
PAB
and
PBA
are complementary, and
PAB
measures
40 o
. Then what is the measure of
PBC
?
19. Suppose
PON and
SOT
are vertical angles and the measure of
PON is 32 o
. Then what is the measure of
SOT
?
20. Suppose
PON and
SOT are vertical angles, the measure of
PON is 32 o
and the measure of
POT
is less than 180 o
. Then what is the measure of
POT
?
21. Suppose
ACD
and
BFE
are supplementary, and
GHK
and
BFE are also supplementary. If the measure of
ACD is
42 o
then what is the measure of
GHK
?
22. Suppose
ROM
and
MOP
are complementary, and
MOP and
POQ
are also complementary. If the measure of
ROM is
27 o
then what is the measure of
POQ
?
23. Suppose
APC and
BPD are straight angles, and the measure of
APB is 124 o
. Then what is the measure of
CPD ?
24. Suppose
APB measures 100 o
,
ABP measures 40 o
,
QBA
is adjacent to
PBA ,
and
APB
and
ABQ
are supplementary. Then what is the measure of
PBQ
?
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