Calculate the average angle for the angles below:

a$.$

$\backslash$table$[[,$direct,inverted,average$],[$B$,0{00}^{\text{'}}{00}^{\text{'}\text{'}},179{59}^{\text{'}}{45}^{\text{'}\text{'}},],[$A$,,,],[$D$,61{19}^{\text{'}}{25}^{\text{'}\text{'}},241{19}^{\text{'}}{30}^{\text{'}\text{'}},],[$Difference$,,,]]$

b$.$

$\backslash$table$[[,$Direct,inverted,average$],[$B$,0{00}^{\text{'}}{00}^{\text{'}\text{'}},179{59}^{\text{'}}{30}^{\text{'}\text{'}},],[$A$,,,],[$D$,106{29}^{\text{'}}{35}^{\text{'}\text{'}},286{29}^{\text{'}}{10}^{\text{'}\text{'}},],[$Difference$,,,]]$