Ineed finding the answers someone plz

Happy New Year from MrBillDoesMath!

Proof by ASA congruence postulate. See below

Discussion:

  Fact 1 :     angle A = angle T             (given)

  Fact 2:    The angles on both sides of point X are equal as vertical angles

                 are equal.

From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also  AM = TH  (given) so

   In the left triangle                          In the right triangle

  (angle M, side AM, angle A)  =      (angle H, side TH, angle T)

Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by  ASA.

Thank you,

MrB