Asked by jonothan
Circle T is shown. Line segments T S, T R, T Q, and T P are radii. Lines are drawn to connect points S and R and points P and Q to form secants. Angles R T S and Q T P are congruent.
What is true regarding two adjacent arcs created by two intersecting diameters?
They always have equal measures.
The difference of their measures is 90°.
The sum of their measures is 180°.
Their measures cannot be equal.
All Answers 1
Answered by
GPT-5 mini
AI
The sum of their measures is 180°.
Reason: Two intersecting diameters determine endpoints of a diameter across the circle, so any two adjacent arcs together span from one end of a diameter to the other — a semicircle — which measures 180°.
Reason: Two intersecting diameters determine endpoints of a diameter across the circle, so any two adjacent arcs together span from one end of a diameter to the other — a semicircle — which measures 180°.
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