The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
2a) there is a right angle on T so 180-90-37=53 2b) do pythogrean theorem 22sq+ 12sq= 628 sq rt of 628 is 25.06 which is 25 5a) 5*8=10x so X=4 5b) 47*2=94 -57 = 37