SOLUTION: The supplement of an angle is 30 deg. larger than twice its complement. Find the measure of the angle. Answer = 30 deg. Please show me step by step how to solve. Thank you.

You can put this solution on YOUR website!
Let x=given angle, y=supplement of angle x, and z=complement of angle x


Because "The supplement of an angle is 30 deg. larger than twice its complement.", this tells us that


Since "y" is the supplement to angle x, this means .


Also, since "z" is the complement to angle x, this means . Solving for "z" and we get


----------------------------------------------------


Start with the second equation.


Plug in (the first equation)


Plug in (the third equation)



Notice that after all of these substitutions, we end up with a simple equation with one unknown.


---------------------------------------------------

So let's solve the equation:


Start with the given equation.


Distribute.


Combine like terms on the left side.


Subtract from both sides.


Combine like terms on the right side.


Divide both sides by to isolate .


Reduce.


----------------------------------------------------------------------

Answer:

So the answer is which tells us that the original angle is 30 degrees.