Asked by john
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 diameters are straight lines through the center, so adjacent central angles they form are supplementary and their intercepted arcs therefore sum to 180°. (They can be equal only in the special case of perpendicular diameters.)
Reason: two diameters are straight lines through the center, so adjacent central angles they form are supplementary and their intercepted arcs therefore sum to 180°. (They can be equal only in the special case of perpendicular diameters.)
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