To find the reciprocal you have to make the fraction a mixed number by multiplying the denominator by the whole number then adding the numerator, in this case it would give you 16/5. Since the reciprocal is the number that you multiply to get one, if you switch the denominator and the numerator, you get 5/16.
You can check your work by multiplying the numbers together, if it equals one, your reciprocal is correct, if not, then you may have to do it again.
First all the angles add up to 360°. You would subtract 180 from the 360 because of the 2 right angles. That leaves you with 180. Then 180-102.3 to get 77.7°, your answer.