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.
The triangle is LNM ..angle L = 29 degrees. Side NM = 24.4cm. Side LM = 45.2 cm. The measure for LN is not given. What is angle N?