Find the complement of an angle whose measure is `3x-8^(@)`.

Options

A. `3x-98^(@)`
B. `82^(@)-3x`
C. `98^(@)`-3x`
D. `3x-82^(@)`

Answer

To find the complement of an angle whose measure is given as \(3x - 8^\circ\), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the concept of complement**: The complement of an angle is what, when added to that angle, equals \(90^\circ\). Therefore, if we have an angle \(A\), its complement \(C\) can be calculated using the formula:
\[ C = 90^\circ - A \]

2. **Identify the angle**: In this case, the angle \(A\) is given as \(3x - 8^\circ\).

3. **Substitute the angle into the complement formula**: We will substitute \(A\) into the complement formula:
\[ C = 90^\circ - (3x - 8^\circ) \]

4. **Simplify the expression**: Now, we need to simplify the expression:
\[ C = 90^\circ - 3x + 8^\circ \]
\[ C = (90 + 8)^\circ - 3x \]
\[ C = 98^\circ - 3x \]

5. **Final answer**: Thus, the complement of the angle \(3x - 8^\circ\) is:
\[ C = 98^\circ - 3x \]

### Summary:
The complement of the angle \(3x - 8^\circ\) is \(98^\circ - 3x\).

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