Need with solving/explanation of geometry question

photo 1: find the measure of angle x.
explain how you do it so i understand!

photo 2: find kl.
explain how you do it so i understand!

Y=90-29
y=61
x=(90+17+61)-180
x=42
since it is a right triangle it should equal 180
they are similar triangles so it should equal the same as ML
KL = 9

Ok. we see that one of the angles is 90 (the square at the bottom left), another one is 17. we see that there is y and there is x. if you look at the picture, y+x= to the third angle. we have to find y first. 
the sum of the angles of any three triangles is 180. lets look at the small  triangle that y is in. the angles are 90, 29, and y. 90+29+y must equal 180. 90+29=119.
119+y=180. minus 119 from both sides to get y=61. now we know that y=62.
now look at the big triangle. we have 90, 17, and y+x. we have 90+17+y+x=180. 90+17=107, so 107+y+x=180. minus 107 from both sides to get y+x=73. we already know that y=62, so 62+x=73. minus 62 on both sides to get x=11.
problem 2. we see that this figure is semetrical. it has a strait line going up from the center. we also see that the base of either half of the triangle is 6, again, proving that this is semetrical. if we fold this figure in half along the line, k will line with m, and the lines LM, and LK will line up. they are the same lenghs, LM=9, so LK=9 if you have any questions regarding this answer, just ask in the comments