$ \begin{array}{l}\pi-180^{\circ} \ x-135^{\circ} \ 180^{\circ} x=135 \pi \ x=\frac{135 \pi}{180}\end{array} $

Question

Accepted Answer

It seems like you're trying to convert an angle from degrees to radians or vice versa and there might be a bit of confusion in the notation. Let's clarify the process step by step.

To convert degrees to radians, we use the fact that $180^\circ$ is equal to $\pi$ radians. The conversion formula from degrees ($D$) to radians ($R$) is:

$$
R = D \times \frac{\pi}{180^\circ}
$$

Now, if you're trying to convert $135^\circ$ to radians, you would substitute $D = 135^\circ$ into the formula:

$$
R = 135^\circ \times \frac{\pi}{180^\circ} = \frac{135\pi}{180}
$$

To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor, which is 45 in this case:

$$
\frac{135\pi}{180} = \frac{3\pi}{4}
$$

So, $135^\circ$ is equivalent to $\frac{3\pi}{4}$ radians.

It looks like your initial attempt was on the right track, but the notation may have confused the process. The correct conversion of $135^\circ$ to radians results in $\frac{3\pi}{4}$, not the equation $180^\circ x = 135\pi$, which seems to be a mix-up in the process.

$\begin{array}{l}\pi-180^{\circ} \\ x-135^{\circ} \\ 180^{\circ} x=135 \pi \\ x=\frac{135 \pi}{180}\end{array}$

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π−180∘x−135∘180∘x=135πx=135π180\begin{array}{l}\pi-180^{\circ} \\ x-135^{\circ} \\ 180^{\circ} x=135 \pi \\ x=\frac{135 \pi}{180}\end{array}π−180∘x−135∘180∘x=135πx=180135π​​

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$\begin{array}{l}\pi-180^{\circ} \\ x-135^{\circ} \\ 180^{\circ} x=135 \pi \\ x=\frac{135 \pi}{180}\end{array}$