In the triangle on the right
sin 30 / 20 = sin CDA /28
28sin 30 / 20 = sin CDA
28 (1/2) / 20 = sin CDA
14/20 = sin CDA = 7/10
Take the sine inverse
arcsin (7/10) = CDA ≈ 44.43° but this angle is obtuse so it measures 180- 44.43= 135.57°
And angle BDC 44.43°
So angle DCA = 44.43 -30 = 14.43°
Also
sin 30 / 20 = sin CBD / 28
28 (1/2) 20 = sin CBD
14/20 = sin CBD =7/10
So CBD must have the same measure as BDC
So angle BCD =180 - 2(44.43) = 91.14°