Determine the angle measure to the nearest degree. What is angle N? Theta is equal to 64 degrees. How do you come to this answer?
This can be easily done using the law of sines.
According to the law of sines, in the triangle LNM,
`sin(L)/(NM) = sin(N)/(LM) = sin(M)/(LN)`
`sin(L)/(NM) = sin(N)/(LM)`
`sin(29)/24.4 = sin(N)/45.2`
`sin(N) = 45.2/24.4 sin(29) = 0.8981`
`N = sin^(-1)(0.8981) = 63.91` degrees.
The angle is 63.91 degrees, approximately 64 degrees.