A park is being considered in a space between a small river and a highway as a rest stop for

travelers in the figure below. Boundary $BC$ is perpendicular to the highway and boundary $AD$

makes an angle of $75$ with the highway. BC is measured to be $160\mathrm{.}0m,AD$ is $270\mathrm{.}0$ m $,$ and

the boundary along the highway is $190\mathrm{.}0$ m long. What is the length of side $AB$ and the

magnitude of angle ABC $?$