Children playground

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

Correct answer:

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

Step-by-step explanation:

a=36 m c=21 m b=14 m d=16 m  x=ac=3621=15 m Δ x,b,d  b2 = x2+d2  2xd cos A  A=π180°arccos(2 x dx2+d2b2)=π180°arccos(2 15 16152+162142)=53.5764=53°3435"
B=π180°arccos(2 x bx2+b2d2)=π180°arccos(2 15 14152+142162)=66.8676=66°523"

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