alleryStart learning →What is true of the opposite angles of a cyclic quadrilateral?
AThey are equal in size
BThey are supplementary
CThey are both acute
DThey are right angles
Answer & Solution
Correct answer: B. They are supplementary
1. A cyclic quadrilateral has all four of its vertices on the circumference of a circle.
2. Its opposite angles are supplementary, so each pair adds up to a straight angle.
3. The reverse is also true, since supplementary interior opposite angles make a quadrilateral cyclic.
4. Opposite angles being equal belongs to a parallelogram, which need not be cyclic at all.
_Source: Siyavula Mathematics Grade 11 (Everything Maths, CC BY 4.0), Chapter 8: Euclidean geometry_
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