To convert radians to degrees, we use the conversion factor that [tex]\(180^{\circ}\)[/tex] is equivalent to [tex]\(\pi\)[/tex] radians. This means that we can use the formula:
[tex]\[
\text{Degrees} = \text{Radians} \times \left(\frac{180^{\circ}}{\pi}\right)
\][/tex]
Given that we have [tex]\(\frac{3\pi}{4}\)[/tex] radians, let's plug this into the formula:
[tex]\[
\text{Degrees} = \frac{3\pi}{4} \times \left(\frac{180^{\circ}}{\pi}\right)
\][/tex]
Notice that the [tex]\(\pi\)[/tex] in the numerator and the denominator cancel each other out:
[tex]\[
\text{Degrees} = \frac{3 \times 180^{\circ}}{4}
\][/tex]
Now, compute the multiplication and division:
[tex]\[
\text{Degrees} = \frac{540^{\circ}}{4} = 135^{\circ}
\][/tex]
So, [tex]\(\frac{3 \pi}{4}\)[/tex] radians is equal to [tex]\(135^{\circ}\)[/tex].
Upon checking, the correct answer choice is:
[tex]\[
\boxed{135^{\circ}}
\][/tex]
