Question 158617
five times the complement of an angle less twice the angle's supplement is 40 degrees. find the measure of the supplement.
:
Let x = "the angle"
Then
(90-x) = the Complement of the angle
and
(180-x) = the Supplement of the angle
;
Just write what it says:
5(90-x) - 2(180-x) = 40
:
450 - 5x - 360 + 2x = 40; change the sign inside the bracket
:
-5x + 2x + 90 = 40
:
-3x = 40 - 90
:
-3x = -50
x = {{{(-50)/(-3)}}}
x = +16{{{2/3}}} degrees
:
Find the supplement:
180 - 16{{{2/3}}} = 163{{{1/3}}} degrees
:
:
You can check the solution in the original equation