Download ACCL Unit 4 Part 1

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AAG – Unit 4 Prerequisite Skills on Angles
NOTES & DEFINITIONS
Straight Angle : An angle measuring 180 degrees.
(opposite rays – rays with the same starting point
going in opposite directions)
Zero Angle: An angle measuring 0 degrees.
(rays with the same starting point going in the same
direction)
Adjacent Angles: Angles with a common ray.
and
are adjacent angles because
Vertical Angles: Each of the pairs of opposite angles
made by two intersecting lines.
they share
.
Complementary Angles: Two angles with a sum of
90 degrees.
Supplementary Angles: Two angles with a sum of 180
degrees.
Linear Pair: A pair of adjacent, supplementary
angles.
Angle Bisector: A ray, line, or line segment that
divides an angle into two equal parts.
If
bisects
, then
and
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AAG Unit 4 – Part 1 Angle Pairs and Relationships
1) If
and
Practice Problems - Angles
find each of the following
B
A
A)
B)
C
1
G
C)
2
D)
F
D
E
2) Let
and
A) Solve for x.
B) Find
2
1
3
4
3) Let
and
5
4)
and
, solve for x and find the measures of both angles.
6
are complementary. If
and
, find the measure of each angle.
5) Let
,
and
. Solve for x and find
.
B
U
S
H
Directions: In 6-7,
6) If
bisects
. The diagram is not drawn to scale.
and
, find the value of x.
D
F
G
E
7) If
and
, find the value of x.
D
F
G
E
8) Refer to the diagram to the right. Find the measure of each angle.
A)
B)
C)
D)
E)
F)
Algebra & Analytic Geometry
Angle Pairs
Directions: In 9-10,
9) If
Name & Date
bisects
. The diagram is not drawn to scale.
and
, solve for x and find the
.
D
F
G
E
10) If
and
, solve for x and find the
.
D
F
G
E
11) On the diagram below,
find
,
.
A
B
C
12) Solve for x and find
D
.
G
E
H
2x+50
121-5x
F
I
, and
. Solve for x and
13)
and
of both angles.
are complementary.
14) Solve for x and find
and
.
2x-5
1
75-2x
Directions: In 15-17, use the following figure.
15) Give two other names for
16) Name two distinct straight angles.
17) If
, find each measure.
A)
B)
C)
B)
. Solve for r and find the measures
Algebra & Analytic Geometry
Angle Pairs
18) If
Name & Date
and
and
.
A) Solve for x.
D
N
K
B) Find
.
C) Find
.
U
D) Is
the angle bisector of
? Justify your answer.
19) Refer to the diagram below.
A) Let
4
and
. Find
.
1
3
2
B) Let
and
. Find
.
20) If the figure below, AD , BE , and CF intersect at point O. If
what is
?
and CF bisects
,
B
C
O
A
F
21) In the figure below, if
is
?
and
D
E
, and the dotted lines bisect
and
, what
F
H
I
J
G
K
22) In the figure below, six segments intersect at O; OD bisects
. If x = 40 and y = 30, what is
?
F
y°
O
E
x°
D
C
B
A
, OC bisects
, and OB bisects