 Hello friends, so in this question It's given that a v is parallel to cd. So these two lines are parallel E f is perpendicular to cd. So this angle is 90 degrees and g e d is 126 degrees. So this is 126 degrees You have to find out a g e. So you have to find out a g e. Let me put it as x Then g e f. Let me put it as y and f g e So let me put it as Z. Okay, I have to find out x z and y Okay, now clearly You can see the solution. Yeah, so solution is x is equal to 126 degrees Why because x is equal to angle g e d g e d y because they are alternate Alternate interior angles Right, so clearly x is equal to 126 degrees. There is no big thing here. Okay, so a g e is equal to 126 degrees right now g e f or you can actually write it as a G e is 126 degrees now clearly you can find z Z is nothing but or rather if you see x plus z is 180 degrees Why and the reason is a linear pair Linear pair Okay, so what is that then that which is also equal to what was that there was equal to angle f g e actually and This is nothing but 180 degrees minus x So 180 degrees minus 126 Degrees so hence it is coming out to be 54 degrees Is it so Fg is 54 degrees clear now you have to find out why Why right so if you see? Angle g e d look at g e d. What do you see so g e d is nothing but y plus 90 degrees is it it why this is why And this is 90 so y plus 90 is full-angle g e d. Okay, so And g e d is given to be 126 degrees isn't it 126 degrees so g e d 126 degrees is equal to y Plus 90 degrees so my friend Y is equal to 126 degrees Minus 90 degrees it is equal to 36 degrees Very easy some is that so hence what is the learning out of this some so you must know again all the Angles related to transversal then linear pair and Vertically opposite angles if you know this all the lines and angle sums you'll be able to solve Please keep this in mind And you'll be able to solve any such sum