Complementary And Supplementary Angles Worksheet Page 2
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4Determine whether each statement is always, sometimes, or never true. Draw a figure to justify your answer.
13. Two complementary angles are also adjacent angles. ______________
14. Two angles in a linear pair are adjacent angles. ______________
15. Vertical angles are adjacent angles. ______________
16. An angle and its supplement are congruent. _____________
Find the measures of the complement and supplement of
A.
17.
m
A = 67.5 ________________
A = 2y – 10 ______________
18.
m
A = 30 – 2x ______________
m
19.
Use the drawing at the right for #20-#23.
A
F
20.
m
AEC = 2x + 30,
m
DEB = 3x + 10.
m
m
Find
FED and
CEB.
D
E
C
G
B
BEC = 5x – 2
m
m
21.
AEC = 2x + 7,
m
m
Find
DEB and
FED.
m
m
m
m
22.
AEC = 12x + 4,
GEC = 6x + 14
23.
AEC = 3x + 5,
DEF = 2x - 10
m
m
m
m
Find
DEB and
FED.
Find
CEG and
DEB.
Write a statement or draw a diagram that would support each statement.
24. If two congruent angles form a linear pair, then each angle is a right angle.
25. The supplement of an obtuse angle is an acute angle.
26. The measure of an angle added to twice the measure of its complement equals the measure of its supplement.
For #27-#35, write an equation then solve. SHOW WORK!
27. The difference in the measures of two supplementary angles is 38. Find the measures of the two angles.
28. The measure of the supplement of an angle is 30 more than twice the measure of the angle. Find the measures of the
angles.
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