What is meant by coefficient of friction and angle of friction? Establish the relation between the two?

Dear Student, 
1. The coefficient of friction between any two surfaces in contact is expressed as the ratio of the force of limiting friction (f) and normal reaction (R). It is denoted by μ.
                                                        μ =  fR

2.The angle between resultant of force of limiting friction ' f ' and normal reaction 'R' makes with the normal reaction 'R' is angle of friction.

Relation between these two is explained blow:

 
Here,   θ = Angle of Friction  and    μ =  coefficient of friction

Regards

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