Find the value of x.

The value of x is 120°

Step-by-step explanation:

We should draw a line parallel to the given parallel lines and passes through the vertex of the measure x and divides it into two angles of measures x1 and x2, look at the attached figure

In the given figure

∵ The dashed line is parallel to the given line up

∴ The angle of the measure 70° and the angle x1 are alternate angles

∵ The alternate angles are equal in measures

∴ x1 = 70°

∵ The dashed line is parallel to the given line down

∴ The angle of the measure 50° and the angle x2 are alternate angles

∵ The alternate angles are equal in measures

∴ x2 = 50°

∵ x = x1 + x2

∴ x = 70 + 50

∴ x = 120°

∴ The value of x is 120°

x= 120

Step-by-step explanation:

Alternated angles  are 50 and 70

Angles of a triangle sum 180

y+x (linear pair)

answer:

c. the third graph