Observe the figure below.
When two lines intersect each other, vertically opposite angles are always equal.
So, [tex]m \angle PTS = m \angle RTQ[/tex]
[tex][11(y-10)]^\circ = (4y-5)^\circ[/tex]
[tex][11y-110]^\circ = (4y-5)^\circ[/tex]
[tex][11y-4y]^\circ = (110-5)^\circ[/tex]
[tex]7y^\circ = 105^\circ[/tex]
[tex]y = 15^\circ[/tex]
So, the measure of 'y' is 15 degrees.
The measure of angle PTS = 11(y-10)
= 11(15-10)
= 55 degrees
So, the measure of angle PTS is 55 degrees.
