SahasP429470 SahasP429470

03-11-2022
Mathematics

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In the diagram below, quadrilateral ABCD is inscribed in circle P.What is m< DCB?

In the diagram below quadrilateral ABCD is inscribed in circle PWhat is mlt DCB class=

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NainoaP226783 NainoaP226783

03-11-2022

ANSWER

A) 70º

EXPLANATION

In quadrilaterals inscribed in a circle, opposite angles are supplementary - their measures add up 180º. Therefore:

[tex]\begin{gathered} m\angle DAB+m\angle DCB=180º \\ 110º+m\angle DCB=180º \\ m\angle DCB=180º-110º \\ m\angle DCB=70º \end{gathered}[/tex]

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