Question

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

Answer 1

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°}}`