Geometry Worksheet 1.5A
Name __________________
Angle relationships
Per ___ Date ____________
*******Use a protractor to measure angles to assist on some problems******
1. Name a pair of acute vertical angles:
2. Name a linear pair:
3. Name a pair of adjacent angles which are acute.
4. Name two congruent segments.
5. Name two adjacent complementary angles.
6. Name two non-adjacent complementary angles.
7. Name a linear pair.
Identify each pair of angles as adjacent, vertical, and/or a
linear pair.
8.
9.
1 and 2
1 and 6
10.
1 and 5
11.
3 and 2
12. Name two obtuse vertical angles
13. Identify two acute adjacent angles
14. Identify an angle supplementary to
TNU .
True or False:
____ 15. If two angles are supplementary and one is acute, then the other angle is
obtuse.
____ 16. If two angles are complementary, they are both acute angles.
____ 17. If A is supplementary to B and B is supplementary to C , then A is
supplementary to C .
____ 18. If NP  NQ , then PNQ is acute.
19. Name two acute vertical angles.
20. Name two obtuse vertical angles.
21. Name a linear pair.
22. Name two acute adjacent angles.
23. Name an angle complementary to
24. Name an angle supplementary to
EKH
FKG
25. Name two obtuse vertical angles.
26. Name a linear pair whose vertex is B.
27. Name an angle not adjacent to but complementary to
FGC .
28. Name an angle adjacent and supplementary to
DCB .
Determine whether each statement can be assumed from the diagram. Explain your
reasoning.
29.
DAB is a right angle.
30.
AEB  DEC
31.
ADB and
32.
DAE  ADE
BDC are complementary
33.
WZU is a right angle.
34.
YZU and UZV are supplementary.
35.
VZU is adjacent to
36.
NQO and
37.
SRQ and
38.
MQN and
YZX .
OQP are complementary.
QRP is a linear pair.
MQR are vertical angles.
39. In the figure below, WUT and XUV are vertical angles, YU is the bisector of
WUT , and UZ is the bisector of TUV . Write a convincing argument that YU  UZ .
In problems 40 and 41, Find the length of each segment if Q is between P and R.
Draw the Diagram:
40. PQ = 1 – x, QR = 4x + 17, PR = -3x
41. PR = 7n + 8, PQ = 4n – 3, QR = 6n + 2