In the rhombus, angle 1=4y-2. Find the value of y.

Answer:
y = 23
Step-by-step explanation:
Since it's a rhombus, we know that the two diagonals are perpendicular.
That means that angle 1 is necessary a right angle, so it's worth 90 degrees since it's at the meeting point of the two perpendicular diagonals.
So, we have
∠1 = 4y - 2
All we have to do is to replace ∠1 by its value (90) and solve the mini-equation:
90 = 4y - 2
92 = 4y
y = 23