Geometry ?? about angles!! please help!!!?

Question

The measure of the supplement of an angle is 60 less than three times the measure of the complement of the angle. Find the measure of the angle.
*** supplement= 180 degrees
***complement= 90 degrees
Also please explain the best you can...I have to show work!! Thanks!!!

Answer 1

lol i did this like 3 years ago..i dont remeber anymore sorry

Answer 2

im gona express the missing angle as X so

X+Y=180 (y the the supplement to X)
X+Z=90 (Z is the complement angle to X)

now in the question it says that the supplement angle (Y) is 60 less then 3 times the complement angle (Z) therefore


Y=3Z-60

Now that you have these equations you can solve for X
there is a couple of way to slove it from here the way im gona do it is plug the value of Y (from 3rd euqtion) into the first one
so now you have
X+(3Z-60)=180 and
X+Z=90
so now solve the second eqution for X (by subtracting Z from both sides)
X=90-z
and now plug the new value of X into the first equation
(90-Z)+(3Z-60)=180 now add the Z's and the number on left
2Z+30=180
subtract 30 from both sides
2Z=150 divide by 2
Z=75
now we know Z+X=90 (complement angle)
so you solve for X
X=90-Z
X=90-75
and final answer is
X=15

Answer 3

lets say the angle is x
supplement = 180 -x
compliment = 90 - x

now use the first line
supplement = 3 times (compliment) - 60
180 - X = 3(90 - X) - 60
solve the equation for x
180 - x = 270 - 3X - 60
3x-x=270 -60 -180
2x = 30
x = 15

Answer 4

180 - x = 3(90 - x) - 60
180 - x = 270 - 3x - 60
180 - x = -3x + 210
2x = 30
x = 15°