In any isosceles triangle angles opposite to the congruents sides are also congruent.So any two angles in this triangle must be equal.
The three possibilities are:
1. the 69 degrees and x degrees are congruent angles.
2. There are two 69 degree angles. Sum equals 69+69=138
Since, the sum of the three angles=180
3. Other possibility is , there are two angles of x degrees, then
The sum of all these possibilities = 69+42+55.5=166.5