Answer:
11
Explanation:
Pre-Solving
We are given that 2 line segments are perpendicular to each other, and that two of the angles created are 4x-6 and x + 6y degrees.
Recall that perpendicular lines intersect to create 90° angles.
This means that 4x - 6 and x + 6y are both equal to 90.
Solving
To start, we can first find the value of x.
We can use 4x - 6 = 90 to do that.
Add 6 to both sides.
4x = 96
Divide both sides by 4
x = 24
Now, substitute 24 as x in x + 6y = 90.
24 + 6y = 90
Subtract 24 to both sides
6y = 66
Divide both sides by 6.
y = 11
So, the value of y is 11.