Question 222056
You set it up right.  Now solve for x.


180-x=2(90-x)+20

180 - x = 180 -2x + 20


Subtract 180 from each side:
-x=-2x+20


Add +2x to each side:

-x + 2x = -2x + 2x + 20
x= 20


Now, answer the question.  Find one half of the complement of the angle.


The angle was 20 degrees, so the complement of this angle would be 70.  Now, half of 70 is 35 degrees.  Does that look right?


R^2


Dr. Robert J. Rapalje