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In the following diagram, L||M

Solve for each of the variables w, x, y, and z. For each solution, explain, in complete sentences which special angles allowed you to create an equation in order to find a solution.

In The Following Diagram LM Solve For Each Of The Variables W X Y And Z For Each Solution Explain In Complete Sentences Which Special Angles Allowed You To Crea class=

Sagot :

Akposevictoridn

Based on the special angles formed by transversal and parallel lines, the missing variables are:

z = 86°

y = 75°

x = 105°

w = 94°

What are Special Angles Formed by a Transversal and Two Parallel Lines?

  • Vertical angles formed are congruent.
  • Consecutive angles formed are supplementary.
  • Alternate interior angles that are formed are congruent also.

Thus:

z = 86° (vertical angles)

y = 75° (alternate interior angles)

x = 180 - 75 = 105° (supplementary)

w = 180 - 86 = 94° (supplementary)

Learn more about the special angles formed by transversal and parallel lines on:

https://brainly.com/question/1751268

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