help plz and thankyou

Question

In ΔEFG, g = 5.1 cm, e = 3.7 cm and ∠F=112°. Find ∠G, to the nearest 10th of a degree.

Answer 1

We have a triangle and we know three things about it: the length of two sides e,g and the angle between them <F. Therefore we may apply the Law of Cosines to find the third side, and then use the Law of Sines to solve for the angle opposite side g. Do you remember these laws? Can you do these calculations and show your work?

Answer 2

Find side f using law of cosines:

f^2 = e^2 + g^2 - 2*e*g*cos(F), where, e, g, and F are given

use law of sines to find G

f g

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sin(F) sin(G)