Question

quadrilateral live is inscribed in circle p. the measures of opposite angles, ∠l and ∠v are supplementary, and the measures of opposite angles ∠i and ∠e are also supplementary. which theorem explains this property of live? the triangle angle sum theorem the inscribed quadrilateral theorem the inscribed angle theorem the opposite angles of a parallelogram theorem

Explanation:

The Inscribed Quadrilateral Theorem states that for a quadrilateral inscribed in a circle, the opposite angles are supplementary. The Triangle Angle - Sum Theorem is about the sum of angles in a triangle. The Inscribed Angle Theorem is about the measure of an inscribed angle in a circle. The Opposite Angles of a Parallelogram Theorem is about parallelograms, not general inscribed quadrilaterals.

Answer:

The Inscribed Quadrilateral Theorem