#1**+2 **

Since ΔPQR is congruent to ΔXYZ...............then angle Y = angle Q

And since ΔPQR is right, angle Q is complementary to angle R

So angle Q = 90 - 35 = 55°

So angle Y = c° = 55°

CPhill
Apr 1, 2017

#2**+1 **

As hectictar so astutely pointed out.....PR should be congruent to XZ.....however......that means that :

tan Q = 6 / 12 = 1/2

And

arctan (1/2) = Q = about 26.56°

But R + Q should sum to 90, which they clearly don't

Mmmmmm.....I suppose this means that my original answer is no good ....LOL!!!!!

CPhill
Apr 1, 2017