Explanation:
By Linear Pair Theorem,
110⁰ + 5x⁰ = 180⁰
5x⁰ = 70⁰ ------- (1)
x⁰ = 14⁰
We know that adding the angles of the triangle lying on the same side, equals the opposite exterior angle, i.e.,
5x⁰ + 40⁰ = 2y⁰
From 1,
70⁰ + 40⁰ = 2y⁰
110⁰ = 2y⁰
y⁰ = 55⁰
Hope it helps :)