Is algebra closer to the orgigins of math or closer to the most advanced mathematics?

Given: hf || jk; hg ? jg prove: fhg ? kjg to prove that the triangles are congruent by asa, which statement and reason could be used as part of the proof? fgh ? kgj because vertical angles are congruent. jkg ? hfg because vertical angles are congruent. fhg ? jkg because right angles are congruent. hfg ? kjg because alternate interior angles are congruent.

Can someone me and do the problem plz so i can understand it more better

Which number line represents the solution set for the inequality -1/2x> 24?