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Verified Answer :

your answer is y=15 for your problem

The two angles labelled are equal because they are vertically opposite.

11(y - 10) = 4y - 5

11y - 1110 = 4y - 5

11y - 110 = 4y - 5

11y - 4y = -5 + 110

7y = 105

y = 105/7

y = 15

But PTS:     11(y - 10) =  11(15 - 10) = 11*5 = 55

Angle PTS = 55 degrees