Parallel lines p, q and r are cut by transversal t. Which of these describes how to find the value of x


1. Lines p and t are parallel, so the alternate exterior are congruent; x = 130

2. Lines q and r are parallel, so the interior angles are supplementary; x = 130

3. Lines p and r are parallel, so they alternate exterior angles are supplementary; x = 50

4. Lines q and r are parallel, so the corresponding angles are congruent; x = 50

Parallel lines p q and r are cut by transversal t Which of these describes how to find the value of x 1 Lines p and t are parallel so the alternate exterior are class=

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Answer:

Lines p and t are parallel, so the alternate exterior are congruent; x = 130

Step-by-step explanation:

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The correct answer is 2. Lines q and r are parallel, so the interior angles are supplementary; x = 130

What is Transversal?

  • A line that intersects more than two lines is known as transversal.
  • A Transversal cuts the two parallel lines and the angles formed in the transversal are known as transversal angles.

How many types of Transversal angles are there?

The types of transversal angles are as follows

  • Corresponding angles
  • Alternate Interior Angles
  • Alternate Exterior Angles
  • Co-interior Angles

Why other options are incorrect?

Option 1. is incorrect because Lines p and t are not parallel

Option 3 is incorrect because alternate exterior angles is x= 130°

Option 4 is incorrect  because x is not corresponding angle to 50°

Hence , Option 2 is correct and rest options are incorrect.

Learn more about transversal here

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