Answer:
k=45
Step-by-step explanation:
Since the sum of the measures are 180 and the measures are 45 degrees, k degrees, and 2k degrees, we can conclude that [tex]45+2k+k=180[/tex]. 2k and k are like terms, so you can add 2k and k to get 3k.Then, you would have [tex]45+3k=180[/tex]. Since you are finding k, you want to isolate k as best you can. To do this, you subtract 45 on both sides [tex]45-45+3k=180 -45 \\3k=135[/tex] as shown by the equation, 180-45 is 135. Then, you divide 3 on both sides to get k=45.
