Respuesta :

w should be equal to 92° to prove that r || s.

To prove whether the two lines are parallel we should know whether

  • the pairs of corresponding angles are congruent if a transversal cuts two parallel lines (Corresponding Angles Theorem)
  • the pairs of alternate interior angles are congruent if a transversal cuts two parallel lines (Alternate Interior Angles Theorem)
  • the pairs of alternate exterior angles are congruent if a transversal cuts two parallel lines (Alternate Exterior Angles Theorem)
  • the pairs of consecutive interior angles are supplementary if a transversal cuts two parallel lines (Consecutive Interior Angles Theorem)

So for the given condition, the diagram is drawn. Mark the angles w, x, y, and z.

From the diagram, by the Corresponding Angles Theorem, ∠w=∠92°.

The answer is w. Therefore, option a is correct.

The complete question is -

Letters w, x, y, and z are angle measures. Lines r and s are intersected by line m. At the intersection of lines m and r, clockwise from the top, the angles are w, x, blank, blank. At the intersection of lines m and x, clockwise from the top, the angles are 92 degrees, y, z, blank. Which should equal 92° to prove that r ∥ s?

a)w

b)x

c)y

d)z

To know more about parallel lines:

https://brainly.com/question/28792677

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