Y=11 x=13
It’s a rectangle so each angle equals 90
1
Angle 1 + angle 2 =90
5y+2y+13=90
7y=77
y=11
Th diagnose of a rectangle bisect so 8x-16=5x+23
3x=39
X=13
<h2>Answer </h2>
The length of UC is 18
<h2>Explanation </h2>
First we are going to find the length of JN; then we are subtracting from it the length of JU plus the length of CN.
We can infer from our picture that JN is 82 + 105, so JN = 187
We can also infer that JU = JH + HU
JU = 22 + 96
JU = 118
We can also infer that CN = 51
Now we can fin the length of UC:



We can conclude that the length of UC is 18.