Intersecting chords form a pair of supplementary, vertical angles. True or false.
2 answers:
Answer: True
Step-by-step explanation:
When two lines intersect they form both supplementary and vertical angles.
For example if AB intersects CD at point O (as given in figure), then ∠AOD and ∠DOB are supplementary [lies on line AB] and ∠AOB = ∠COB {Vertical angles are congruent}
Since Chords are line segments that join two distinct points on the circle, it means Intersecting chords also form a pair of supplementary, vertical angles.
Hence, the given statement is true.
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