How many unique triangles can be made when one angle measures 90° and another angle is half that measure?

We can have infinite such triangles possible.

Step-by-step explanation:

When one angle measures 90° and another angle is half that measure i.e. the measure of the second angle is 45° and hence the measure of the third angle is 45° ( subtract addition of 90 and 45 from 180)

" You can have many different length combinations for a triangle and still have the same angles in the triangles. If you know all the 3 angles (make sure they sum to 180), then you can form an Infinite number of triangles "