Answer:
7.7
Explanation:
Find the third angle that is not given:
180 - (120 + 37) = 23.
Draw a line that cuts the 120 degree angle and makes two 90 degree angles with the opposite side. We will call this line h.
You can find the length of h by using sine of 37 degrees. We get:
sin(37 deg) = h/5
h = 3.01
Because we have already found the third angle, 23 degrees, we can use sine of 23 degrees to find the missing side length (x):
sin(23 deg) = 3.01/x
x = 7.7
Answer is 7.7