Asked by Ian
Opposite angles of an inscribed quadrilateral can be proven to be. A. Congruent. B. Acute. C. Supplementary. D. Complementary.
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C. Supplementary.
Reason: An inscribed angle equals half the measure of its intercepted arc. In a cyclic quadrilateral the two opposite angles intercept arcs that together make the full circle (360°), so their measures add to half of 360°, i.e. 180°. Hence opposite angles are supplementary.
Reason: An inscribed angle equals half the measure of its intercepted arc. In a cyclic quadrilateral the two opposite angles intercept arcs that together make the full circle (360°), so their measures add to half of 360°, i.e. 180°. Hence opposite angles are supplementary.
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