SOLUTION: could you please help me with this problem. four times the complement of an angle less the supplemant of an angle is 27. find the angle ive started 4c-s=27 don't know

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Question 557354: could you please help me with this problem.
four times the complement of an angle less the supplemant of an angle is 27. find the angle
ive started
4c-s=27
don't know if equation is right or if the awnser to it would be right
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
four times the complement of an angle less the supplement of an angle is 27. find the angle
:
let a = the angle
when we know:
(90-a) = the complement
and
(180-a) = the supplement
:
Now write the equation for the statement:
"four times the complement of an angle less the supplement of an angle is 27."
4(90-a) - (180-a) = 27
360 - 4a - 180 + a = 27; change the sign of a when you remove the brackets
-4a + a + 360 - 180 = 27
-3a + 180 = 27
-3a = 27 - 180
-3a = -153
a =
a = +51 degrees is the angle
:
You can check this yourself, in the original equation
4(90-51) - (180-51) = 27