Mathematics

Mathematics

Problem

Line segment

AC

subtends equal angles at two distinct points

B

and

D

located on the same side of

AC

. Which statement must be true? a)

AC\text{ is the diameter of a circle passing through }B\text{ and }D.

b) Points

A,\,B,\,C,\,

and

D

are concyclic. c)

\angle ABC + \angle ADC = 180^{\circ}

. d)

AB = CD

.

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