Answer:
55
Step-by-step explanation:
We are given with two lines that intersects each other .
the vertical opposite angles are same.
So we equate the angles and solve for y
[tex]11(y-10)= 4y-5[/tex]
[tex]11y-110=4y-5[/tex]
Subtract 4y from both sides
[tex]7y-110=-5[/tex]
Now we add 110 on both sides
[tex]7y=105[/tex]
Now we divide by 7 on both sides
y=15
now we find m∠PTS
m∠PTS=[tex]11(y-10)[/tex]
Plug in 15 for y
m∠PTS=[tex]11(15-10)=55[/tex]
