3 years ago

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

Mathematics

1 answer:

mixas84 [53]3 years ago

6 0

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.

$\therefore \angle D + \angle U = 180°\\\therefore \angle D + 106° = 180°\\\therefore \angle D = 180° - 106°\\\huge\purple {\boxed {\therefore \angle D = 74°}}$

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