There is only one solution
Ok question is there numbers with this
Answer:
C
Step-by-step explanation:
We have congruent angles in the middle and 2 sides are congruent as well which makes (Angle-Side-Side) which doesn't work for congruent triangles.
Isolating the variable terms and dividing by 4, we have
Taking the square root, we have 
If there is a really short way of doing this, I don't see it. The only way I know to do it is to find the third angle of both triangles.
So for F the third angle for each of the pairs is
left side: 180 - (51 + 30) = 180 - 81 = 99
right side: 180 - (109 + 30) = 180 - 139 = 41
This is not the answer.
G
180 - (92 + 70) = 180 - 162 = 18
180 - (28 + 70) = 180 - 98 = 82
This is not the answer either.
H
180- (58 + 30) = 180 - (88) = 92
180 - (90 + 58) = 180 - 148 = 32
Not at all.
180 - (35 + 82) = 180 - 117 = 63
180 - (82 + 63) = 180 - 145 = 35
This pair has a third angle that is equal to the other triangle's pair. This is your answer.