Find the measure of all the angles of a parallelogram, if one angle is 24° less than twice the smallest angle.

x + 2x - 24 = 180^°

⟹ 3x - 24 = 180^°

⟹ 3x = 108^° + 24

⟹ 3x = 204^°

⟹ x = 204/3 = 68°

⟹ x = 68^°

⟹ 2x - 24^° = 2*68^° - 24^° = 112^°

Hence, four angles are 68^°, 112^°, 68^°, 112^°.