A ray oflight travelling in the direction $$\frac{1}{2} \left(\widehat{i} + \sqrt 3 \widehat{j}\right)$$ is incident on a plane mirror. After reflection, it travels along the direction $$\frac{1}{2} \left(\widehat{i} - \sqrt 3 \widehat{j}\right)$$. The angle of incidence is
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