# 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:

$C=180-B=180-66.8676=113.132{4}^{\circ }=11{3}^{\circ }{7}^{\mathrm{\prime }}57\mathrm{"}$
$D=180-A=180-53.5764=126.423{6}^{\circ }=12{6}^{\circ }2{5}^{\mathrm{\prime }}25\mathrm{"}$

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