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Angles in opposite segments are classified as

  • A.acute
  • B.supplementary
  • C.complementary
  • D.obtuse

Answer: B

Angles in opposite segments of a circle - equivalently, the opposite angles of a cyclic quadrilateral - add to \( 180^{\circ} \), so they are supplementary.

\[ \angle A + \angle C = 180^{\circ} \]

This follows from the inscribed-angle theorem: each angle is half the arc it faces, and the two arcs together make the whole \( 360^{\circ} \).

Complementary would mean adding to \( 90^{\circ} \), a different relation altogether.

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