Answer: K=29
Explanation:
First off, we have to write the whole equation out. We have two equations here ((5k-3) and (9+k)), and because the angles are on a straight line, both equations should add up to 180.
Our equation looks like this: (5k-3)+(9+k)=180.
Next, you want to combine the like terms on the left side of the equation.
Our equations looks like this: (5k+k)+(9-3)=180 OR 6k+6=180
Finally, solve algebraically.
6k+6=180
(6k=174)/6
k=29
Hope this helps :)