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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