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Geometry Unit 1.4 HW WS
1. Determine whether
adjacent angles.
and
are
6. Name a pair of complementary angles and a pair of
Date________
supplementary angles.
2. Determine whether
and
are
non-adjacent angles or adjacent angles.
7. Use the diagram. Tell whether the angles are
vertical angles, a linear pair, or neither.
3. Determine whether
and
non-adjacent angles or adjacent angles.
are
a.)
and
b.)
c.)
8
e.)
and
d.)
and
f.)
and
and
4.
5.
and
and
are complementary angles. Given
, find
.
are supplementary angles. Given
, find
.
and
8. The measure of one angle is three times the
measure of its complement. Find the measure of
each angle.
9. The measure of one angle is 38° less than the
measure of its supplement. Find the measure of
each angle.
10. Find
and
.
k
1
2
j
40°
11. Find
and
15. Determine whether the following statements is
always true, sometimes true, or never true.
a.) Two complementary angles form a
linear pair.
always
sometimes
never
.
k
b.) The supplement of an obtuse angle is
an acute angle.
always
sometimes
never
1
2
j
59°
e.)
The complement of an acute angle is
an acute angle.
always
sometimes
never
f.)
A straight angle has a complement.
always
sometimes
never
2y–6
2x
j
36°
k
g.) An angle has a supplement.
always
sometimes
never
13. Find the value of x and y.
3y–6
a
42°
b
14. Find the value of x and y.
An angle that has a supplement also
has a complement.
always
sometimes
never
d.) An obtuse angle has a complement.
always
sometimes
never
12. Find the value of x and y.
3x
c.)
h.) The supplement of an acute angle is
an obtuse angle.
always
sometimes
never
16.
and
and
are complementary angles. Find
59
.
21. In the diagram below,

17.
and
and
2
are supplementary angles. Find
1
.
3
4
What is
18. What is the definition of a straight angle?
Geom 1.0
19. If
.
m
and
.
, then find
Geom
1.0
K
I
T
N
20. Let O be between B and X. Use the Segment
Addition Postulate to solve for x.
Geom 1.0
x-5
2x - 8
and give the geometric reason?
Geometry Unit 1.4 HW Angle Pair Relationships (review starts at #16)
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
adjacent
non-adjacent
adjacent
10°
147°
and
;
and
neither, linear pair, neither, veritcal angles, veritcal angles, linear pair
22.5° and 67.5°
71° and 109°
,
,
x = 18, y = 75
x = 14, y = 48
x = 14, y = 35
never, always, sometimes, never, always, never, sometimes, always
;
;
an angle with a measure of less than 90º
89°
24
51°, vertical angles