Question

Find the value of X.

Answer 1

Answer:

21

Step-by-step explanation:

There are two parallel lines given.

Two transversals cut them.

Here m and n are parallel.

Two transversals cut them so that a triangle is formed.

Let us use the property that sum of angles of a triangle = 180

Bottom angle of triangle = 39 (vertically opposite angles)

Top left angle = 4x+3 (vertically opposite angles)

Top right angle = 180-6x (linear pair property)

Now add these 3 and equate to 180

39+4x+3+180-6x = 180

2x = 42

Or x = 21