Apply Pythagorean theorem to find the radius:
$(R - 2)^2 + 35^2 = R^2$
$(R^2 - 4R + 4) + 1225 = R^2$
$4R = 1229$
$R = 307.25 \, \text{ m}$
Degree of curve (arc basis):
$\dfrac{20}{D} = \dfrac{2\pi R}{360^\circ}$
$\dfrac{20}{D} = \dfrac{2\pi (307.25)}{360^\circ}$
$D = 3.7^\circ$ [ D ] answer