Answer: Wow, sorry it took me so long, but I believe your answer is 127.
Step-by-step explanation: When finding an angle for something like this, we need to find the angles of the triangle. As you can see, 89 is provided already, but we need two more. Let's say we make a guess of 127 as 14x + 1. The other side which is angle F has to add up with 127 to make 180, which is 53. So angle F is 53. That gives us 89 + 53 which equals 142. 180 - 142 equals 38. To solve 5x - 7, you need to fill in 9 to make the equation true, which is 5 x 9 - 7 or 38. So, angle H is 38. 38 + 89 + 53 equals 180. So for 14x + 1, it's 127.
Hope this helps! :)