Question

Suppose you wish to apply SSA to a triangle, in order to find an angle

Answer 1

First of all there nothing exists something like SSA congruence criterion, It is SAS Congruence where the sides of a Triangle and the angle between them is exactly same to the other two sides and angle between them of another triangle.

So the correct option is D.

Explanation:

If the Triangle has two sides equal, so the two angles there are equal. Also the other angle be some other definite angle. So

45+x+x=180(Considering definite angle to be 45)
2x=135
x=67.5

So there is only one solution to the triangle.