If we want to find the value of a variable in a trigonometric equation, we can use the inverse function to solve for theta. In this case, we have the following:
[tex]\begin{gathered} \cos \theta=-0.92 \\ \Rightarrow\theta=\cos ^{-1}(-0.92)=156.93 \\ \theta=156.93 \end{gathered}[/tex]therefore, theta equals 156.93 degrees