Children playground

The playground has the shape of a trapezoid, the parallel sides have a length of 36 m and 21 m, the remaining two sides are 14 m long and 16 m long. Determine the size of the inner trapezoid angles.

Correct result:

A =  53.5764 °
B =  66.8676 °
C =  113.1324 °
D =  126.4236 °

Solution:

a=36 m c=21 m b=14 m d=16 m  x=ac=3621=15 m Δx,b,d  b2=x2+d22xdcosA  A=180πarccos(x2+d2b22 x d)=180πarccos(152+1621422 15 16)=53.5764=533435"
B=180πarccos(x2+b2d22 x b)=180πarccos(152+1421622 15 14)=66.8676=66523"
C=180B=18066.8676=113.1324=113757"
D=180A=18053.5764=126.4236=1262525"

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