Find the possible pairs of the opposite angles for a inscribed quadrilateral.
A
110o,70o
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B
65o,25o
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C
11o,169o
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D
123o,69o
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Solution
The correct option is C11o,169o A cyclic quadrilateral or inscribed quadrilateral is a quadrilateral whose all vertices lie on a single circle.
The sum of opposite angles of a quadrilateral inscribed in a circle is 180o.
For example, ∠D+∠B=180o.
Option (b): 65o+25o=90o
Hence, this is not correct.
Option (c): 11o+169o=180o
Hence, this is correct.
Option (d): 123o+69o=192o
Hence, this is not correct.