Infographic

Let the angles be $14x,3x$ and $x$ representing sky,sunny side of the pyramid and shady side of the pyramid respectively.Then we have that $14x+3x+x=360 \implies 18x=360 \therefore x=20.$ Therefore the angle formed by the shady side of the pyramid is $20°$ .

Since the ratio is $3:14:1$ , the total is $3+14+1=18$

It is obvious in the drawing that the shady side is the smallest, so the angle is

$\large \dfrac{1}{18}(360)=$ $\color{#D61F06}\boxed{\large 20^\circ}$

3:14:1=18

But you want all the angles to equal 360

18*x=360

x=20

So you times all the ratios by 20

(3)(20) : (14)(20) : (1)(20) = 360

60 : 280 : 20 = 360

Since you are looking for the shady side of the pyramid and since the shady side is the smallest, it means that it is the smallest number

Answer= 20

The shady side of the pyramid equals to $\large \dfrac{360}{(3+14+1)} \times 1=\large \dfrac{360}{18}=\color{#3D99F6}\boxed{\large 20^\circ}$

$total=3+14+1=18$

$shady$ $part$ $of$ $pyramid$ $=$ $(\frac{1}{18})(360)$ $=20$ $degrees$

a circle=360° 3(sunny side)+14(sky)+1(shady)=18 =360÷18=20 =1=20 shady side of the pyramind=20(%)