Question

true or false? adjacent (or side-by-side) angles of a quadrilateral in a circumscribed circle are always supplementary. a. true b. false

Explanation:

A quadrilateral inscribed in a circle (cyclic quadrilateral) has a key property: its opposite angles are supplementary (sum to $180^\circ$). Adjacent angles of such a quadrilateral only sum to $180^\circ$ if the quadrilateral is a rectangle, which is a special case, not a universal rule.

Answer:

B. False