The difference between the two acute angles in a right-angled triangle is \pi/12 radian. One of the acute angles of the triangle is

Explanation

Let the two acute angles be A and C. A + C = 90^\circ. Given A - C = \frac{\pi}{12} = 15^\circ. Adding the equations gives 2A = 105^\circ \Rightarrow A = 52.5^\circ.

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