Is osceles triangle ABC is shown below with legs that measure 8 inches and a vertex angle of 50D. (a) Determine the area of ABC ' . Note that you will need to use right triangle trigonometry. Round to the nearest tenth of a square inch. (b) Determine the area of the circular sector. Again, round to the nearest tenth of a square inch. (c) Using your answers from (a) and (b), determine the area of the shaded region

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.