Question

The opposite angles of a quadrilateral inscribed in a circle are -

• A. complementary anlges
• B. supplimentary angles
• C. co-interior angles
• D. alternate interior angles

Answer 1

The correct option is B supplimentary angles

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 ${180}^o.$

For example,
$\angle D+\angle B={110}^o+{70}^o={180}^o$

Supplementary angles add up to ${180}^o.$
$\therefore$ They are supplementary angles.