Math Problem Statement

Name a pair of alternate interior angles from the diagram.

Solution

In the diagram, alternate interior angles are pairs of angles that are on opposite sides of the transversal but between the two parallel lines.

Looking at the diagram:

  • The transversal cuts through the two parallel lines, creating angles 1 through 8.
  • A pair of alternate interior angles should be located on opposite sides of the transversal and inside the two parallel lines.

From the diagram:

  • Angles 2 and 7 form one such pair of alternate interior angles.
  • Another pair would be angles 3 and 6.

Thus, the correct answer is (b) 2 and 7.

Would you like further explanation or details?

Here are 5 related questions:

  1. What are alternate exterior angles in a transversal setup?
  2. Can you explain the concept of corresponding angles in this diagram?
  3. How do you prove that two lines are parallel using alternate interior angles?
  4. What is the difference between consecutive interior angles and alternate interior angles?
  5. How do vertical angles compare to alternate interior angles?

Tip: When dealing with transversal problems, always locate the transversal line and check which angles lie between the parallel lines.

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Math Problem Analysis

Mathematical Concepts

Transversals
Parallel Lines
Angles
Alternate Interior Angles

Formulas

-

Theorems

Alternate Interior Angle Theorem

Suitable Grade Level

Grades 6-8