The values of x and y, obtained using the linear pair property and the angle sum property of a triangle are;
x = 25, y = 10
The details of the solution are as follows;
The parallel lines indicates that we get; 2·x + 3·y + 4·x = 180
2·x + 3·y + 100 = 180 (Angles forming a line)
Comparison, we get;
100 = 4·x
x = 100/4
x = 25
Therefore;
2·x + 3·y + 4·x = 180
2 × 25 + 3·y + 4 × 25 = 180
3·y = 180 - (2 × 25 + 4 × 25)
180 - (2 × 25 + 4 × 25) = 30
3·y = 30
y = 30/3
y = 10