Question

☺️☺️I challenge brainly to solve this question
only moderator can solve .....☺️☺️☺️

Answer 1

X + 30 = 180 (sum of exterior angle)
X = 150

Answer 2

Given that the two lines are parallel

$\boxed{\textbf{Refer to the attachment for the labelled figure }}$

$\underline{\textbf{Given that}}$

angle FDE = 30 °

$\underline{\textbf{To find :- }}$angle ABC

angle FED + angle BDF = 180° (linear pair)

30° + angle BDF = 180°

angle BDF = 180° -30°

angle BDF = 150°

$\implies$Now, the lines are parallel, we know that if two lines are parallel and cut by a transversal, then:-

✔ Corresponding angles are equal.

✔ Alternate angles are equal.

✔ The sum of co-interior angles is 180° .

Since, angle BDF and Angle ABC are corresponding angles (as lines are parallel)

So, angle ABC = Angle BDF

$\boxed{\textbf{Angle ABC = 150^{\circ}}}$

so, x= 150°