Answer:
[tex]SU=5\\\angle WXY = 24\°\\\angle SYW = 39 \°[/tex]
Step-by-step explanation:
According to the graph,
[tex]\angle WXT \cong \angle YXT[/tex]
So, [tex]m\angle YXT =12 \°[/tex]
By sum of angles we have
[tex]\angle WXY = \angle WXT + \angle YXT\\\angle WXY = 12 \° + 12\° = 24 \°\\\therefore \angle WXY 24\°[/tex]
By given, we know that
[tex]\angle UYS \cong \angle SYW\\\therefore \angle SYW = 39 \°[/tex]
By given, we know that side SU is a leg of the right triangle SUX, where the hypotenuse is 13 units, and the opposite angle is 12°. However, if you look closer, you would find that side ST is 5 units, and by GIven we know that ST = SU.
Therefore, SU = 5.
