Question 615973
<pre>
{{{drawing(200,300,-1,1,-2,1,
red(arc(-cos(46*pi/180),0,.8,-.8,292,406)),
locate(-.65,.05,"114°"),

red(arc(cos(46*pi/180),0,.8,-.8,134,248)),
locate(.3,.05,"114°"), locate(0,.9,A),
locate(-.8,.05,B),locate(.7,.05,D),
locate(0,-1.7,C),
line(-cos(46*pi/180),0,0,sin(46*pi/180)),
line(cos(46*pi/180),0,0,sin(46*pi/180)),
line(-cos(46*pi/180),0,0,-1.7193398),
line(cos(46*pi/180),0,0,-1.7193398) )}}}

             A + B + C + D = 360°  

Substitute B = 114°, D = 114°, and A = 2C

      2C + 114° + C + 114° = 360°

                 3C + 228° = 360°

                        3C = 132°

                         C = 44° 

So angle A = 2C = 2(44°) = 88°

Angle B = 114°

Angle C = 44°

Angle D = 114°

Edwin</pre>