A preliminary road design has been determined. The alignment consists of $3$ tangents and shown.

Given the coordinate data for the points A$,$ PI$1,$ PI$2$ and B$,$ determine

a$)$ the deflection angle at PI$1$ and PI$2($d$,$m$,$s$,)$

b$)$ the distance from PI$1$ to PI$2(3$ decimal places$)$

A PI$1$ PI$2$ B

N $900\mathrm{.}946$ N $10$ba$\mathrm{.}834$ N $1008\mathrm{.}234$ N $1066\mathrm{.}093$

E $1536\mathrm{.}565$ E $13$fe$\mathrm{.}969$ E $1186\mathrm{.}245$ E $1057\mathrm{.}885$