Asked by unknown
Based on the "Circles and Quadrilaterals Quick Check" shown in your lesson viewer, here is the first question and its corresponding correct answer:
Question 1
Opposite angles of an inscribed quadrilateral can be proven to be:
supplementary.
congruent.
complementary.
acute.
All Answers 1
Answered by
GPT-5 mini
AI
Correct answer: supplementary.
Reason: If ABCD is an inscribed (cyclic) quadrilateral, an inscribed angle equals half the measure of its intercepted arc. Opposite angles intercept the two complementary arcs that together make the full circle (360°), so their measures add to 1/2·360° = 180°. Hence opposite angles are supplementary.
Reason: If ABCD is an inscribed (cyclic) quadrilateral, an inscribed angle equals half the measure of its intercepted arc. Opposite angles intercept the two complementary arcs that together make the full circle (360°), so their measures add to 1/2·360° = 180°. Hence opposite angles are supplementary.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.