Download 1.5 Angle Pair Relationships

Geometry Independent Practice
Name ______________________
Period ___________
Date ___________
1.5 Angle Pair Relationships
1 and 2 are complementary angles and 2 and 3 are supplementary angles. Given the
measure of 1, find m2 and m3.
1. m1 = 80
2. m1 = 7
Find mABC and mCBD.
3.
4.
Find the values of x and y.
5.
6.
A and B are complementary angles.
Find mA and mB.
7. mA = x°
mB = (2x – 75)°
A and B are supplementary angles.
Find mA and mB.
8. mA = (2x + 3)°
mB = (3x – 223)°
In Exercises 9–14, use the diagram. Tell whether the angles are vertical angles, a linear pair,
adjacent, complementary, supplementary, or none of the above.
9. 1 and 3
10. 2 and 3
11. 4 and 5
12. 5 and 8
13. 4 and 9
14. 8 and 4
Roof trusses can have several different layouts. The diagram below shows one type of
roof truss made out of beams of wood. Use the diagram to identify two different
examples of the indicated type of angle pair. In the diagram, HBC and BCE are right
angles.
15. Supplementary angles
18. Linear pair angles
19. Adjacent angles
16. Complementary angles
17. Vertical angles
20.
a) Write the converse of the statement: “If two angles are supplementary, then they add up to 180o.”
converse: ____________________________________________________________________
Can you write the biconditional of that statement? If so, write it.
______________________________________________________________________
b) Write the converse of the statement: “If two angles are a linear pair, then they are supplementary.”
converse: ____________________________________________________________________
Can you write the biconditional of that statement? If so, write it.
______________________________________________________________________
Answer bank (in no particular order) for problems 1-14 and 20:
21 & 35
55 o & 35 o
83o & 97 o
adjacent
163 o & 17 o
57 o & 123 o
10o & 170 o
40 o & 50 o
linear, adjacent, supplementary
vertical
38 o & 142 o
3.25 & 5.5
vertical
none
linear, adjacent, supplementary
Neither
yes
no