Respuesta :

To find the measure of angle NLM which is x, we must use trigonometry.

In this case we use the sine function:

    [tex]sin(x) =[/tex] (side opposite angle NLM) / (hypotenuse)

    [tex]sin(x) = \frac{4.9}{7.5} \\x = sin^{-1}(\frac{4.9}{7.5})\\x= 40.8 degrees[/tex]

Hope that helps!