SOLUTION: Given that twice the complement is three-fifths the supplement, find the measure of the angle.

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Question 206141: Given that twice the complement is three-fifths the supplement, find the measure of the angle.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Given that twice the complement is three-fifths the supplement,
find the measure of the angle.
:
Let a = the angle
:
Twice the complement = 3/5 the supplement
2(90 - a) = .6(180 - a)
:
180 - 2a = 108 - .6a
:
180 - 108 = 2a - .6a
:
72 = 1.4a
:
a = 72%2F1.4
:
a = 51.43 degrees
;
:
Is this true:
2(90 - 51.43) = 77.14
.6(180 - 51.43) = 77.14