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What is the relationship between the angles formed by two intersecting chords in

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Question: What is the relationship between the angles formed by two intersecting chords in a circle?

Options:

  1. They are always equal.
  2. They are supplementary.
  3. They are complementary.
  4. They are proportional to the lengths of the chords.

Correct Answer: They are supplementary.

Solution: 

The angles formed by two intersecting chords are supplementary.

What is the relationship between the angles formed by two intersecting chords in

Practice Questions

Q1
What is the relationship between the angles formed by two intersecting chords in a circle?
  1. They are always equal.
  2. They are supplementary.
  3. They are complementary.
  4. They are proportional to the lengths of the chords.

Questions & Step-by-Step Solutions

What is the relationship between the angles formed by two intersecting chords in a circle?
  • Step 1: Understand that a circle can have lines (chords) that connect two points on its edge.
  • Step 2: Recognize that when two chords intersect inside the circle, they create angles.
  • Step 3: Identify the angles formed by the intersecting chords. There will be four angles in total.
  • Step 4: Learn that the angles opposite each other (the vertical angles) are equal.
  • Step 5: Know that the sum of the measures of the angles around the intersection point is 360 degrees.
  • Step 6: Conclude that the angles formed by the two intersecting chords are supplementary, meaning they add up to 180 degrees.
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