How can an ALGEBRAIC angle measurement be explicitly expressed in degrees or radians? You can see my attempt below, But this doesn't look right for some reason, even if I change "deg" to degree symbol. What do you think? Can you suggest anything?
Thank you.
People are asking for more context on what you're trying to do because it seems like you might be misunderstanding something.
Angles are like lengths. If $x$ is equal to 1 meter, then $x$ is equal to 100 cm. The expressions "$x$", "1 meter", and "100 cm" all denote the same thing, which is a length, not a number. You could use the phrase "$x$ in cm" to refer to the plain real number 100 (or the expression $\frac x{\text{$1$ cm}}$, i.e. the ratio of the length $x$ to the length $1$ cm), but then your results are tied to a choice of unit.
It's usually clearer to work directly with lengths rather than numbers. For example, if $d$ is my dog's height and $c$ is my cat's height, then "$d>c+c$" doesn't require units to make sense. We're adding and comparing lengths, not numbers.
Similarly, with angles, you can write things like $\cos(\alpha+\beta)=\frac12$, which is unambiguous without declaring units for the angles $\alpha$ and $\beta$, because the input to $\cos$ is (conceptually) an angle, not a number. We only need units when writing literal numeric quantities.
One thing that confuses the issue slightly is that plain numbers are also considered angles, with the conversion $1=\text{$1$ rad}$.