In the following figure, a line AC meets two rays BD and BE at point B, then x + y = ? 

Correct option is B

1. Given:

- A line AC meets two rays BD and BE at point B .

- $$\angle$$​ XBY = 100$$^\circ$$​ .

- x and y are the angles formed on either side of $$\angle$$​ XBY .

- We need to find x + y .

2. Concept Used:

- The sum of angles on a straight line is always $$180^\circ$$​ .

- The formula: x + $$\angle XBY + y = 180^\circ$$​ .

3. Solution:

Substituting $$\angle XBY = 100^\circ$$​ :

​$$x + 100^\circ + y = 180^\circ$$​

Simplifying:

​$$x + y = 180^\circ - 100^\circ$$​

​$$x + y = 80^\circ$$​