An airplane leaves City A and flies 144 km due north to City B. It then turns through an angle of 64° and fles 99 km to City C. What angle 0 with respect to due north could the pilot have used to fly directly from City A to City C? See the figure below.

Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a degree.

Nina has prepared the following two-column proof below. she is given that ∠oln ≅ ∠lno and she is trying to prove that ol ≅ on. triangle oln, where angle oln is congruent to angle lno step statement reason 1 ∠oln ≅ ∠lno given 2 draw oe as a perpendicular bisector to ln by construction 3 ∠leo ≅ ∠neo transitive property of equality 4 m∠leo = 90° definition of a perpendicular bisector 5 m∠neo = 90° definition of a perpendicular bisector 6 le ≅ en definition of a perpendicular bisector 7 δole ≅ δone side-angle-side (sas) postulate 8 ol ≅ on cpctc nina made two errors in the proof. identify and correct the errors.