Can someone help me solve for this angle?
One can draw a line from the center to the edge, creating an isosceles triangle like this:
(You know it's isosceles because two of the sides are equal to the same thing - the radius of the circle.)
Because it's isosceles, you know that the two angles not formed by the radii are equal.
Knowing that the angles in a triangle sum up to 180 degrees, you can calculate the final angle with the formula (180-(37+37)), which gives you a final result of 106 degrees.