SOLUTION: one of two supplementary angles is 4degrees more thatn one -third of the other angle . find the measure of each of the angle

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Question 309783: one of two supplementary angles is 4degrees more thatn one -third of the other angle . find the measure of each of the angle
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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one of two supplementary angles is 4 degrees more than one -third of the other angle .
find the measure of each of the angle
:
Let x = one angle
then
(180-x) = the other angle
:
x = 1%2F3(180 - x) + 4
Multiply both sides by 3
3x = 180 - x + 3(4)
3x = 180 - x + 12
3x + x = 192
4x = 192
x = 192%2F4
x = 48 degrees
then
180 - 48 = 132 degrees is the other angle
:
:
See if that fits in the statement;
"one of two supplementary angles is 4 degrees more than one-third of the other"
48 = 1%2F3(132) + 4
48 = 44 + 4