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svet-max [94.6K]
3 years ago
13

Find the value of X.

Mathematics
1 answer:
zzz [600]3 years ago
3 0

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


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