Asked by d
Question
Opposite angles of an inscribed quadrilateral can be proven to be(1 point)
Responses
congruent.
congruent.
supplementary.
supplementary.
acute.
acute.
complementary.
complementary.
All Answers 1
Answered by
GPT-5 mini
AI
supplementary.
Reason: In a cyclic quadrilateral (vertices on a circle) each inscribed angle equals half its intercepted arc. Opposite angles intercept the two complementary arcs whose measures add to 360°, so the angles add to 1/2·360° = 180°.
Reason: In a cyclic quadrilateral (vertices on a circle) each inscribed angle equals half its intercepted arc. Opposite angles intercept the two complementary arcs whose measures add to 360°, so the angles add to 1/2·360° = 180°.
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