Find the measure of each angle indicated

Θ≈44.29

Working: 
We need to use inverse trigonometric functions to evaluate the angle 
Note that tan(Θ)=o/a where
o=opposite side & a=adjacent side (the last being the hypotenuse) 
The inverse being Θ=arctan(o/a) 
We substitute the given sides to get Θ=arctan(4/4.1) 
Put this into the calculator and the result is ≈ 44.2926806315
Rounded off to 2 decimal places: Θ≈44.29
N.B. arctan usually appears on a calculator as tan to the power of -1

The decimal expansion would be .27 repeated