Find the complement of an angle whose supplement is `100^(@)`.

Answer

To find the complement of an angle whose supplement is 100 degrees, we can follow these steps:

### Step 1: Understand the relationship between angles
- The supplement of an angle is found by subtracting the angle from 180 degrees.
- The complement of an angle is found by subtracting the angle from 90 degrees.

### Step 2: Let the angle be represented as \( x \)
- We will denote the angle we are trying to find as \( x \).

### Step 3: Set up the equation for the supplement
- Since we know the supplement of the angle \( x \) is 100 degrees, we can write the equation:
\[ 180 - x = 100 \]

### Step 4: Solve for \( x \)
- To find \( x \), we rearrange the equation:
\[ x = 180 - 100 \]
- Now, calculate \( x \):
\[ x = 80 \text{ degrees} \]

### Step 5: Find the complement of \( x \)
- Now that we have \( x = 80 \) degrees, we can find its complement:
\[ \text{Complement of } x = 90 - x \]
- Substitute \( x \) into the equation:
\[ \text{Complement of } x = 90 - 80 \]
- Calculate the complement:
\[ \text{Complement of } x = 10 \text{ degrees} \]

### Final Answer
- The complement of the angle whose supplement is 100 degrees is **10 degrees**.

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