Answer :

Answer:

opposite

supplementary

180

Step-by-step explanation:

The opposite angles of an inscribed quadrilateral are supplementary to each other or sum to 180 degrees.

This is a Circle Theorem of Cyclic Quadrilateral.

Answer:

The opposite angles of an inscribed quadrilateral are supplementary to each other or sum to 180 degrees.

Step-by-step explanation:

An inscribed quadrilateral is a 4-sided polygon where all four vertices lie on the circumference of a circle.

One of the properties of an inscribed quadrilateral is that its opposite angles are supplementary, which means they add up to 180°.

This can be proved by the Inscribed Angle Theorem, that states that an angle inscribed in a circle is half the measure of the central angle that subtends the same arc. (See attachment).

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