Find the reflex angle corresponding to each of the following angles:
`90^(@)`

Answer

To find the reflex angle corresponding to the given angle of \(90^\circ\), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Reflex Angle**:
A reflex angle is an angle that is greater than \(180^\circ\) and less than \(360^\circ\). It is the larger angle formed when two lines intersect.

2. **Identify the Given Angle**:
The given angle is \(90^\circ\).

3. **Calculate the Reflex Angle**:
To find the reflex angle corresponding to \(90^\circ\), we can use the formula:
\[ \text{Reflex Angle} = 360^\circ - \text{Given Angle} \]
Here, the given angle is \(90^\circ\).

4. **Substitute the Given Angle into the Formula**:
\[ \text{Reflex Angle} = 360^\circ - 90^\circ \]

5. **Perform the Calculation**:
\[ \text{Reflex Angle} = 270^\circ \]

6. **State the Final Answer**:
The reflex angle corresponding to \(90^\circ\) is \(270^\circ\).

### Final Answer:
The reflex angle corresponding to \(90^\circ\) is \(270^\circ\).

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