Complementary And Supplementary Angles Worksheet Page 3

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29. The difference in the measures of two complementary angles is 39. Find the measures of the two angles.
30. The ratio of the measure of an angle to its complement is 3:2. Find the measure of the angles. Show algebra steps!
31. The measure of
A is twice the measure of
B and the measure of
B is twice the measure of
C. If
A and
C are supplementary, find the measure of
B. Show algebra steps.
m
32.
ABC and
CBD form a linear pair. If BE bisects
ABC and BF bisects
CBD, find
EBF. No algebra
required on this problem. Draw diagram to figure out.
33. Given the measure of the supplement of an angle is 48 more than twice the measure of the angle, find the measures of
both angles.
34. The ratio of the measure of two complementary angles is 2:7. Find the measure of the angles using algebra.
2
35. The measure of one angle in a linear pair is x
and the measure of the other angle is 2x + 60. Find the measure of each
angle.
m
m
m
Write and solve an equation to find
PQR,
RQS, and
PQS.
P
SQR = 7x – 2,
m
m
m
36.
PQS = 13x + 5,
PQR = 3x + 28
R
S
2
37.
m
PQR = x + 5,
m
RQS = 2x + 5,
m
PQS = x
Q
m
m
38. QR bisects
PQS.
PQR = 8x + 17,
RQS = 3x + 38
PQS = 20x – 6
m
m
39. QR bisects
PQS.
PQR = 9x + 4,

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