Which of the following is true for a cyclic quadrilateral ?(A) One of the opposite angles is always acute(B) One of the opposite angles is always obtuse(C) Opposite angles are supplementary(D) Opposite angles are complementary
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c) is correct because the sum of opposite angles in cyclic quadrilateral us equal to 180°
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Option ( C ) is correct.
Explanation :
Cyclic quadrilateral :
If four vertices of a Quadrilateral lie
on the same circle, this type of
Quadrilateral is called cyclic
quadrilateral.
***********************************
By Theorem:
" The pairs of opposite angles of a
cyclic Quadrilateral are supplementary "
**********************************
•••••
Explanation :
Cyclic quadrilateral :
If four vertices of a Quadrilateral lie
on the same circle, this type of
Quadrilateral is called cyclic
quadrilateral.
***********************************
By Theorem:
" The pairs of opposite angles of a
cyclic Quadrilateral are supplementary "
**********************************
•••••
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