Answer:
<D = 80°
Explanation:
ABCD is a quadrilateral so
The opposite angles are supplements. In other words, the sum of their measures is 180 degrees.
So
<A + <C = 180°
Plug in
2x + 13 + 3x + 37 = 180
5x + 50 = 180
5x = 130
x = 26
<B + <D = 180°
2x + 3y + 5y = 180
2(26) + 8y = 180
52 + 8y = 180
8y = 128
y = 16
<D = 5(16) = 80°