SOLUTION: If the complement of an angle is 2° less than one-third of its supplement, find the measure of the angle.

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Question 339185: If the complement of an angle is 2° less than one-third of its supplement, find the measure of the angle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.C%2BA=90
2.S%2BA=180
3.C=%28S%2F3%29-2
Subtract eq. 1 from eq. 2,
S%2BA-C-A=180-90
S-C=90
Substitute eq. 3.
S-%28S%2F3%29%2B2=90
%282%2F3%29S=88
S=88%283%2F2%29
S=132degrees
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132%2BA=180
highlight%28A=48%29degrees