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What is the relationship between the angles formed by two intersecting chords in
What is the relationship between the angles formed by two intersecting chords in a circle?
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Practice Questions
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Q1
What is the relationship between the angles formed by two intersecting chords in a circle?
They are always equal.
They are supplementary.
They are complementary.
They are proportional to the lengths of the chords.
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The angles formed by two intersecting chords are supplementary.
Questions & Step-by-step Solutions
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Q
Q: What is the relationship between the angles formed by two intersecting chords in a circle?
Solution:
The angles formed by two intersecting chords are supplementary.
Steps: 6
Show Steps
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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