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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-example-1

1 Answer

2 votes

Answer:

74°

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°\\</p><p>\therefore \angle D + 106° = 180°\\</p><p>\therefore \angle D = 180° - 106°\\</p><p>\huge\purple {\boxed {\therefore \angle D = 74°}}

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