Find the reflex angle corresponding to each of the following angles:
`53^(@)`

Answer

To find the reflex angle corresponding to the angle of \(53^\circ\), 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 \(180^\circ\) but less than \(360^\circ\). It is the larger angle formed when two lines intersect.

2. **Use the Formula for Reflex Angle**:
The reflex angle can be calculated using the formula:
\[ \text{Reflex Angle} = 360^\circ - \text{Given Angle} \]

3. **Substitute the Given Angle**:
In this case, the given angle is \(53^\circ\). Substitute \(53^\circ\) into the formula:
\[ \text{Reflex Angle} = 360^\circ - 53^\circ \]

4. **Perform the Calculation**:
Now, subtract \(53\) from \(360\):
\[ 360^\circ - 53^\circ = 307^\circ \]

5. **State the Final Answer**:
Therefore, the reflex angle corresponding to \(53^\circ\) is:
\[ 307^\circ \]

### Final Answer:
The reflex angle corresponding to \(53^\circ\) is \(307^\circ\).

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