Deterermine the type of triangle that has angle measurements of 45,45, and 90

Isosceles triangle.
If a triangle has two angles that are exactly the same, two sides of the triangle have the same magnitude/length too. In this triangle two angles are 45 therefore making two sides one over square root of two (don’t ask how it just is).
Anyways it’s an isosceles triangle.
If you work with trig and the unit circle you should know.