7-2 Complementary and Supplementary Angles HW

Name _____________________________________ Date ______________________ Per __________
7-2 Complimentary and Supplementary Angles
1) 1 and 2 are complementary angles. The
measure of 1 is 38  . What is the measure of
2 ?
m 2 = ________________
3) Which equation can be used to find the value
of x in the figure shown below?
2) X and Y are supplementary angles. The
5°
measure of X is 30 . What is the measure
6
of Y ?
m Y = ____________________
4) Look at the figure shown below.
15°
a
38°
What is the measure of a ?
A)
B)
C)
D)
3x° = 39°
3x° + 39° = 90°
3x° + 39° = 180°
x° + 39° = 180°
5) Find the value of x using the measures of the
two given adjacent angles.
x = _____________
m a = ____________
6) ∠ A and ∠ B are complementary angles. The
measure of ∠ A is
of ∠ B?
72.5 . What is the measure
m∠B = _____________
7) In the figure below, EOG is a straight
angle.
8) Look at the figure shown below.
Part 1:
Which equation can be
used to find the measure of
b ?
Emma incorrectly says the measure of FOG is
38  . What mistake did Emma most likely make?
a) Emma found the supplement instead of
the complement.
b) Emma found the complement instead of
the supplement.
c) Emma found the measure of EOF
a) b  63  180
b) b  63  180
c) b  63  90
d) b  63  90
Part 2:
What is the measure of
b ? _______
instead of FOG .
9) 1 and 2 are complementary angles. The
measure of 1 is 58  . The measure of 2 is
(2x + 16)  .
What is the value of x? _____________
What is m 2 ? ______________
11) The measure of 1 is 39.25  . Find the
measure of the angle adjacent to 1 .
Measure of angle adjacent to 1 = ________
10) ∠1 and ∠2 are complementary angles. The
measure of ∠ 1 is 54°. The measure of ∠ 2 is
(2x – 4)°. What is the value of x?
x = ______________
BONUS*
In the figure below, 1 and 2 are congruent
angles, and the third angle is a right angle.
Together, these angles form a straight angle.
What is the measure, in degrees, of 1 ? _______