Geometry – Unit 1 Practice Name: _____________________________! Angle Relationships

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Geometry – Unit 1 Practice
Angle Relationships
Name: _____________________________!
G.CO.C.9
Date: ___________ Pd: ____
1) Name the angle 4 ways.
a) ________
b) ________
c) ________
d) ________
A
1
T
C
2) Draw and label KLM . Place point P on the interior of the angle, point Q on the angle and point R on
the exterior of the angle.
3) Identify each of the following pair of angles as complementary, supplementary or vertical.
l1
2
1
1
2
1
2
l2
l1  l2
a)
b)
c)
4) In each of the following find the m2 :
M
47
155
2
2
2
38
O
L
OM  OL
a)
SNRPDP
b)
Unit 1: Foundations of Geometry
NVACS – Revised 2015-2016
c)
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Practice – Unit 1 (cont.)
5) In each of the following, solve for x.
(4x+9) 
140
3x
75
(12x-40) 
18
a) x =
b) x =
c) x =
6) Given: OE  OC
B
C
D
A
O
E
a) Name a pair of complementary angles. ___________________
b) Name a pair of supplementary angles. ________________
c) If BOC and COD are complementary, what relationship would there be between BOC and
DOE ? _____________
(Support your answer)
_____________________________________________________________________________
7) Given: RT  RS and mTRW  32 .
Find m1 .
T
W
8) The complement of the complement of an 80 angle is
a. 10
b. 80
c. 100
d. 280
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1
R
S
Practice – Unit 1 (cont.)
9) Which of the following statements is always TRUE?
a. Vertical angles are supplementary
b. The complement of an acute angle is an obtuse angle.
c. The supplement of an obtuse angle is acute.
d. Complementary angles are congruent.
10) Two supplementary angles are congruent to each other. What are the measures of both angles?
11) Given: WE  CG and WD  WF and mDWE  30 .
Label the diagram and find the measures of all other angles.
E
D
F
C
W
G
H
12) The measure of an angle is five times greater than its supplement. Find the measure of the angle.
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