Answer:
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°
