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Find the reflex angle corresponding to e...

Find the reflex angle corresponding to each of the following angles:
`125^(@)`

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To find the reflex angle corresponding to the angle of \(125^\circ\), 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 you have a smaller angle. 2. **Identify the Given Angle**: The given angle is \(125^\circ\). 3. **Use the Formula for Reflex Angle**: The reflex angle can be calculated using the formula: \[ \text{Reflex Angle} = 360^\circ - \text{Given Angle} \] 4. **Substitute the Given Angle into the Formula**: Now, substitute \(125^\circ\) into the formula: \[ \text{Reflex Angle} = 360^\circ - 125^\circ \] 5. **Perform the Calculation**: Now, subtract \(125^\circ\) from \(360^\circ\): \[ \text{Reflex Angle} = 360^\circ - 125^\circ = 235^\circ \] 6. **State the Final Answer**: Therefore, the reflex angle corresponding to \(125^\circ\) is \(235^\circ\). ### Final Answer: The reflex angle corresponding to \(125^\circ\) is \(235^\circ\).
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