Question
Let $\overrightarrow a $ and $\overrightarrow b $ be two unit vectors. If the vectors $\,\overrightarrow c = \widehat a + 2\widehat b$ and $\overrightarrow d = 5\widehat a - 4\widehat b$ are perpendicular to each other, then the angle between $\overrightarrow a $ and $\overrightarrow b $ is :