SOLUTION: Given: Parallelogram ABCD is inscribed in a circle Prove: ABCD is a rectangle I was thinking to start out saying that since parallelograms have congruent opposite sides, then t

Question 310458: Given: Parallelogram ABCD is inscribed in a circle
Prove: ABCD is a rectangle
I was thinking to start out saying that since parallelograms have congruent opposite sides, then the congruent chords would have congruent arcs, but then I got stuck. Could you please help me? I need this answer ASAP.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Solution:
LBAC= LBCD( opposite angles of a parallelogram are equal)
.
LBAC + LBCD = 180� ( opp. angles of a cyclic quadrilateral are supplementary)
.
LBAC=LBCD= 90�
.
Similarly LABC=LADC=90�
.
ABCD is a rectangle ( all the angles are =90�)
L stands for angle
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