Write the supplement of each of the following angles:
`(x-30)^(@)`

Answer

To find the supplement of the angle \( (x - 30)^\circ \), we follow these steps:

### Step 1: Understand the definition of supplementary angles
Supplementary angles are two angles whose sum is \( 180^\circ \). Therefore, if we have an angle \( A \), its supplement \( B \) can be found using the formula:
\[ A + B = 180^\circ \]

### Step 2: Set up the equation for the supplement
Given the angle \( (x - 30)^\circ \), we can express its supplement as:
\[ (x - 30) + \text{supplement} = 180^\circ \]

### Step 3: Isolate the supplement
To find the supplement, we rearrange the equation:
\[ \text{supplement} = 180^\circ - (x - 30) \]

### Step 4: Simplify the expression
Now, simplify the right-hand side:
\[ \text{supplement} = 180^\circ - x + 30^\circ \]
\[ \text{supplement} = 210^\circ - x \]

### Final Answer
Thus, the supplement of the angle \( (x - 30)^\circ \) is:
\[ 210^\circ - x \]

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