Question 211689
I am having trouble figuring out how to find the angle's degree with equations. I have a 180 degree angle that has a split in the middle to make two 90 degree angles. The question is: If angle ABD (the first 90 degree angle)= 4x + 15 and DBC (The second 90 degree angle)= 2x + 11, find the degree measure of angle DBC (which is the 180 degree angle in a whole). I don't exactly want an answer, I just want some tips on how to solve it. Thank you very much for your time. 
<pre><font size = 4 color = "indigo"><b>
Those may look like 90° angles in your book or 
worksheet, but they are more like this:

{{{drawing(400,200,-10,10,0,10, locate(-2.4,2,4x+15),locate(-10,1,A),locate(-.5,1,B), locate(10,1,C), locate(2.1,2,2x+11),
line(-10,0,10,0),line(0,0,4.64326866,8.8566391), locate(4.7,8.9,D) )}}}

Set the sum of the angles = 180°

     &#8736;ABD + &#8736;DBC = 180°

(4x+15) + (2x+11) = 180
4x + 15 + 2x + 11 = 180
          6x + 26 = 180
               6x = 154
                x = {{{154/6 = 77/3}}}   

&#8736;DBC = {{{2x+11 = 2(77/3)+11 = 154/3+33/3=187/3 = 62&1/3}}}{{{"°"}}}

Edwin</pre>