If `angleA and angleB` are complementary angles and `angleA` is x, then which equation can be used to find `angleB` which is denoted by y?

Options

A. `y=(90^(@)+x)`
B. `y=(90^(@)-x)`
C. `y=(180^(@)-x)`
D. `y=(x+180^(@))`

Answer

To find the equation that relates angle A (denoted as x) and angle B (denoted as y) when they are complementary angles, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Complementary Angles**:
- Complementary angles are two angles whose sum is 90 degrees. This means that if we have angle A and angle B, we can express this relationship mathematically as:
\[ \text{angle A} + \text{angle B} = 90^\circ \]

2. **Substituting the Values**:
- We know that angle A is represented by \( x \) and angle B is represented by \( y \). Therefore, we can substitute these values into the equation:
\[ x + y = 90^\circ \]

3. **Rearranging the Equation**:
- To find angle B (y) in terms of angle A (x), we can rearrange the equation. We can isolate \( y \) by subtracting \( x \) from both sides:
\[ y = 90^\circ - x \]

4. **Final Equation**:
- The equation that can be used to find angle B in terms of angle A is:
\[ y = 90^\circ - x \]

### Summary:
The equation that relates angle A (x) and angle B (y) when they are complementary angles is:
\[ y = 90^\circ - x \]