swagg894
swagg894 swagg894
  • 16-04-2020
  • Mathematics
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Quadrilateral QUAD is inscribed in circle O what is the measure of D

Quadrilateral QUAD is inscribed in circle O what is the measure of D class=

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Hrishii
Hrishii Hrishii
  • 16-05-2020

Answer:

74°

Step-by-step explanation:

Quadrilateral QUAD is inscribed in a circle. Therefore it is a cyclic quadrilateral. Opposite angles of a cyclic quadrilateral are supplementary.

[tex] \therefore \angle D + \angle U = 180°\\

\therefore \angle D + 106° = 180°\\

\therefore \angle D = 180° - 106°\\

\huge\purple {\boxed {\therefore \angle D = 74°}}[/tex]

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