The value of y in the diagram is 3.89.
What is the value of y?
The figure above is a square.
There are 4 equal sides and angles in a square.
Angle F = Angle K = Angle L = Angle H = 90°
So,
In angle H
7y ° + (2y + 55)° = 90°
open parenthesis
7y + 2y + 55 = 90
Subtract 55 from both sides
9y = 90 - 55
9y = 35
Divide both sides by 9
y = 35/9
y = 3.89
Therefore, y equals 3.89