In the radian measure, the angles of a 45-45-90 triangle are:

Answer:
[tex]\frac{\pi}{4},\frac{\pi}{2},\frac{\pi}{2}[/tex]
Step-by-step explanation:
We know the relation between radian and degree
π radian = 180 degrees
So, we have
[tex]1^{\circ}=\frac{\pi}{180}[/tex]
Using this relation, we convert all the angle which is in degree to radian.
[tex]45^{\circ}=\frac{\pi}{180}\times45\\\\=\frac{\pi}{4}[/tex]
And 90 degrees in radian is equal to
[tex]90^{\circ}=\frac{\pi}{180}\times90\\\\=\frac{\pi}{2}[/tex]
Therefore, in radian measure, the angles are
[tex]\frac{\pi}{4},\frac{\pi}{2},\frac{\pi}{2}[/tex]
C is the correct option.