Honors Geometry
Unit 4
Name______________________
Date______________________
Mini Puzzle #1
Find the measures of the angles:
Q
T
P
R
V
U
W
N
S
K
M
GIVEN:
m RUV  144 Þ
m RUT  3 x
m TUV  3 x
Determine the value of x . Show all supporting work!
3 x  3 x  144
6 x  144

x  24
mQRP  36˚
mQRU  144˚
mPUT  72˚
mTUV  72˚
mVUW  36˚
mSUW  144˚
mPRS  144˚
mSUR  36˚
mRSU  108˚
mQRW  144˚
mPUV  144˚
mTUS  108˚
Mini Puzzles Ans.doc
Mr. John Cendrowski
Lower Moreland HS
Honors Geometry
Unit 4
Page 2
Mini Puzzle #2
Find the measures of the angles:
Q
T
R
P
V
U
M
W
S
L
K
GIVEN:
m RUV  1 5 0 Þ
m RUT  3 x
m TUV  3 x
m PRQ  x
Determine the value of x . Show all supporting work!
3 x  3 x  150
6 x  150

x  25
mQRP  25˚
mQRW  155˚
mSUR  30˚
mTUV  75˚
mQRU  155˚
mPUV  150˚
mPRS  155˚
mVUW  30˚
mPUT  75˚
Mini Puzzles Ans.doc
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 3
mSUW  150˚
mRSU  125˚
mTUS  105˚
Mini Puzzles Ans.doc
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 4
Mini Puzzle #3
Find the measures of the angles:
Q
T
P
R
V
U
W
N
S
M
GIVEN:
mTUV  3 x
mVUW  2 x
Determine the value of x . Show all supporting work!
3 x  2 x  90
5 x  90

x  18
mQRP  36˚
mTUV  54˚
mPRS  144˚
Mini Puzzles Ans.doc
mQRW  144˚
mQRU  144˚
mVUW  36˚
mSUR  36˚
mPUV  144˚
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 5
mPUT  90˚
mSUW  144˚
mRSU  108˚
mTUS  126˚
Mini Puzzles Ans.doc
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 6
Mini Puzzle #4
Find the measures of the angles:
Q
T
P
R
V
U
W
N
S
M
GIVEN:
m PRS  7 x
m S RU  2 x
Determine the value of x . Show all supporting work!
7 x  2 x  180
9 x  180

x  20
mQRP  40˚
mTUV  50˚
mPRS  140˚
Mini Puzzles Ans.doc
mQRW  140˚
mQRU  140˚
mVUW  40˚
mSUR  40˚
mPUV  140˚
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 7
mPUT  90˚
mTUS  130˚
mRSU  100˚
mSUW  140˚
Mini Puzzle #5
Find the measures of the angles:
I
J
O
P
3x
N
5x
M
10x
K
G
Q
L
Set up an equation and solve it for x :
3 x  5 x  10 x  18 0
1 8 x  18 0

x  10
mIPJ  30˚
Mini Puzzles Ans.doc
mOGN  40˚
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 8
mQGP  50˚
mIPG  150˚
mJGO  90˚
mNGM  50˚
mQGM  130˚
mPQG  100˚
mJPQ  150˚
Mini Puzzle #6
Find the measures of the angles:
M
5x
N
L
7x
K
R
9y
J
6y
Q
I
O
P
Set up an equation and solve it
for x :
Set up an equation and solve it
for y :
5 x  7 x  180
9 y  6 y  90
12 x  180
15y  90

x  15
Mini Puzzles Ans.doc

y 6
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 9
mMKN  75˚
mMKJ  105˚
mLJR  54˚
mRJQ  36˚
mIJK  36˚
mKIJ  69˚
mNJL  90˚
mIJQ  144˚
mNKI  105˚
Mini Puzzles Ans.doc
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 10
Mini Puzzle #7
Find the measures of the angles:
K
O
8x
L
G
P
4x
6y+2
3y
I
Q
H
M
Given: mOIQ  128Þ
N
Set up an equation and solve it
for x :
8 x  4 x  180
Set up an equation and solve it
for y :
6 y  2  3 y  128
12 x  180

9 y  128
x  15

mKGL  60˚
mKGI  120˚
mOIP  86˚
mPIQ  42˚
mHIG  42˚
Mini Puzzles Ans.doc
y  14
mGHI  78˚
mLIO  52˚
mHIQ  138˚
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 11
mMHG  102˚
Mini Puzzle #8
Find the measures of the angles:
B
M
4x
N
J
D
6x-26
2y
E
L
C
O
A
Set up an equation and solve it
for x :
Set up an equation and solve it
for y :
2 y  52
4 x  6 x  26
 y  26
 2 x   26

x  13
mCDE  52˚
Mini Puzzles Ans.doc
mNDC  128˚
mNDB  52˚
Miss Jo Ann Fricker
Lower Moreland HS
Honors Geometry
Unit 4
Page 12
mDEC  52˚
mDCE  76˚
mOCD  104˚
mJEM  90˚
mMEL  142˚
mDEM  38˚
Mini Puzzles Ans.doc
Miss Jo Ann Fricker
Lower Moreland HS