We know that the base angles in an isoscles triangle are the same. The sum of the angles in a triangle add to 180
< J + < L + < K = 180
Replace L with J since they are the same
< J + < J + < K = 180
2 < J +
2 ( 3x+29) + ( 2x+34) = 180
Distribute
6x+58 + 2x+34 = 180
Combine like terms
8x +92 = 180
Subtract 92 from each side
8x+92-92 = 180-92
8x =88
Divide by 8
8x/8 = 88/8
x =11
Now we can find the measure of each angle