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  1. Incircle touch points angle ●●○○○ 20 ptsIn triangle ABCABC, ∠BAC=72∘\angle BAC = 72^\circ. The incircle of triangle ABCABC touches sides BCBC, ACAC, and ABAB at DD, EE, and FF, respectively. Find ∠EDF\angle EDF, in degrees.
  2. Hypotenuse of a 30-60-90 triangle ●●○○○ 20 ptsIn right triangle ABDABD, the right angle is at DD and ∠ABD=60∘\angle ABD = 60^\circ. The inscribed circle of the triangle has radius 6 cm. Find the length of AB‾\overline{AB} in centimeters. Round to two decimal places.