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Honors Geometry
Segment and Angle Relationships
Name __________________________ Hr _____
In the figure below, X is the midpoint of AB and Y is the midpoint of XB . Given the following,
find the value of x and the measure of the indicated segment.
1)
AX = 2x + 11
XB = 4x – 5
2)
AB = _______
3)
YB = 23 – 2x
AB = x + 3
AX = 3x - 1
XB = _______
XY = 2x + 3
4)
AB = _______
5) AX = 27 – x
Y
X
A
SHOW ALL WORK
B


AB = 5x – 4
XY = x + 1
AX = _______
XB = 13 – 3x
XY = _______
Given the following, find the value of x and the measure of the indicated segment.
E
F

6)
EF = 6x - 4 FG = 3x
EG =
8)
A
EG = 5x + 8
7) EF = 2(x + 3)

FG = 4x – 3 EG = 5x + 12
FG = _______
_______
B
G

C
.
9)
IJ
bisects FH at G
_______ AB = x-3
_______ FG = 7x-1
_______ BC = 2x-3
_______ GH = 5x+7
_______ AC = 2x+1
_______ IG = 4x+2
_______ GJ = 6x-3
F
I
G
H
J
In the figure, AM bisects LAR and AS bisects MAR . Given the following, find the value of x
and the measure of the indicated angle.
10) m MAR  2x  13 , m MAL  4x  3
m RAL  ________
11) m RAS  25  2x , m SAM  3x  5
m LAR  _______
12)
m RAL  5x  7 , m MAS  x  3
m MAR  ________
Given the following, find the value of x and the measure of the indicated angle.
13)
m DEB  7x  2 , m BEA  2x  25
m BEA  _______
14)
m DEC  6x  5 , m CEB  2(2x  1) , 15) m AEC  11x  4 , m CED  6x  11
m DEB  8x  21
m DEB  _______
m CED  ________
16)
1 and 2 are complementary angles. If m 1  15x  8 and m 2  10x  2 find the
measure of each angle.
17)
3 and  4 are complementary angles. If m 3  x  8 and m 4  6x  2 find the
measure of each angle.
18)
5 and 6 are supplementary angles. If m 5  8x  15 and m 6  3x find the measure
of each angle.
19)
7 and 8 are supplementary angles. If m 7  6x  3 and m 8  13x  6 find the
measure of each angle.
20) The measure of an angle is 27O less than twice its complement. Find the measure of each
angle.