Find the x and y from the following diagram

We know that Sum of Three Angles in a Triangle is 180
⇒ ∠y + 50 + 60 = 180
⇒ ∠y + 110 = 180
⇒ ∠y = 180 - 110
⇒ ∠y = 70
We can notice that ∠x and ∠y form a Linear Pair (180)
⇒ ∠x + ∠y = 180
⇒ ∠x + 70 = 180
⇒ ∠x = 180 - 70
⇒ ∠x = 110