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Find the reflex angle corresponding to e...

Find the reflex angle corresponding to each of the following angles:
`30^(@)`

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To find the reflex angle corresponding to the angle of \(30^\circ\), we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Reflex Angles**: Reflex angles are the angles that are greater than \(180^\circ\) but less than \(360^\circ\). If we have an angle \(A\), the reflex angle \(B\) can be found using the formula: \[ A + B = 360^\circ \] 2. **Identify the Given Angle**: In this case, the given angle is \(30^\circ\). 3. **Set Up the Equation**: According to the concept, we can set up the equation: \[ 30^\circ + B = 360^\circ \] where \(B\) is the reflex angle we need to find. 4. **Rearrange the Equation**: To find \(B\), we can rearrange the equation: \[ B = 360^\circ - 30^\circ \] 5. **Calculate the Reflex Angle**: Now, perform the subtraction: \[ B = 360^\circ - 30^\circ = 330^\circ \] 6. **State the Final Answer**: Therefore, the reflex angle corresponding to \(30^\circ\) is: \[ \boxed{330^\circ} \]
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