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Which of the following statements is true regarding the angles formed when two l

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Question: Which of the following statements is true regarding the angles formed when two lines intersect?

Options:

  1. Vertical angles are always supplementary
  2. Adjacent angles are always equal
  3. Linear pairs are always complementary
  4. Vertical angles are always equal

Correct Answer: Vertical angles are always equal

Solution:

When two lines intersect, the angles opposite each other (vertical angles) are always equal. Therefore, the correct statement is that vertical angles are always equal.

Which of the following statements is true regarding the angles formed when two l

Practice Questions

Q1
Which of the following statements is true regarding the angles formed when two lines intersect?
  1. Vertical angles are always supplementary
  2. Adjacent angles are always equal
  3. Linear pairs are always complementary
  4. Vertical angles are always equal

Questions & Step-by-Step Solutions

Which of the following statements is true regarding the angles formed when two lines intersect?
  • Step 1: Understand that when two lines cross each other, they create four angles.
  • Step 2: Identify the angles that are opposite each other. These are called vertical angles.
  • Step 3: Remember that vertical angles are always equal in measure.
  • Step 4: Conclude that the statement about vertical angles being equal is true.
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