Question

Geometry question help!

Answer 1

the answer's e) I, II, and III. Since all three are easily proven to be sets of right triangles, all the additional information you need to prove they're equal are an equivalent angle and a side or two sides, which you have in all three cases.
By straight line theorem triangles in 1 and 3 are both right triangles. By vertex theorem triangles in 2 are right triangles. Between the shared sides and the given angles and sides enough additional information is given to prove all three are sets of equal triangles.

Answer 2

You need  equal hypotenuse and one equal leg so its III only