Two parallel lines are crossed by a transversal.

Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees.
What is the value of y?

y = 30
y = 50
y = 110
y = 130

Respuesta :

Answer:

30

Step-by-step explanation:

because it is only one number

The value of y is 50 degrees.

What is parallel lines properties?

Properties of Parallel Lines Cut by a Transversal

  • Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.
  • Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.
  • Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.

Given:

intersection of lines b and a, the bottom right angle is 50 degrees.

So, if y is at  top left angle

So, by alternate interior angle

y= 50 degrees.

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