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In a cyclic quadrilateral ABCD prove
that each exterior angle is equal to the opposite interior
angle.
Post a comment or solution.
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HINTS:
PROPOSITION 1. An inscribed angle is measured by
one-half its intercepted arc.
DEFINITION. A cyclic quadrilateral is a
quadrilateral whose vertices all lie on a single circle.
PROPOSITION 2.
Opposite angles of a cyclic
(inscribed) quadrilateral are supplementary. Also converse.
PROPOSITION 3. A quadrilateral is cyclic if one side subtends
congruent angles at the two opposite vertices. Also
converse.
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