In the given figure, $$l_1 \parallel l_2$$and p is their transversal with angle4 = 5x + 35 and angle $$7=45^o$$​. Find the value of x.

Correct option is C

Given:

​$$l_1 \parallel l_2$$​ and p is their transversal

​$$\angle4$$ = 5x+35 and $$\angle7=45^o$$​​

Solution:

​$$\angle 6 = \angle 7 = 45^o$$​    (Vertically opposite angles)

​$$\angle 6 + \angle 4 = 180^o$$​   (Interior angles between two parallel lines)

​$$45^o + 5x+35^o = 180^o$$​​

​$$5x+80^o = 180^o$$​​

​$$5x=100^o$$​​

​$$x= 20^o$$​​