00:02
In order to solve this problem, we need to remember that complementary means that the angle summed to 90 degrees.
00:09
If we can remember that, then this problem becomes quite simple.
00:13
We know that j plus k will equal 90 degrees.
00:22
Thus, we can use substitution with angle j equaling x minus nine, and angle k being x plus 5 equal to 90 degrees.
00:35
When we combine like terms, we have 2x minus 4 equals 90.
00:44
We can isolate this variable by moving the 4 to the other side.
00:48
We add 4 to both sides and have 2x equals 94.
00:56
Finally, dividing by 2, we find that x equals 47 degrees.
01:05
Now, remember that this is not an angle measure...