Geometry Problem 1491: Cyclic Quadrilateral, Diagonal, Incircle, Angle, Measurement

The figure shows a cyclic quadrilateral ABCD with the incircles O1 and O2 of the triangles ABC and ACD. If the measure of angle BAD is 80 degrees find the measure of angle O1, O2D.

Geometry Problem 1491: Cyclic Quadrilateral, Diagonal, Incircle, Angle, Measurement

Incircle

Incircle is a circle within a triangle, that is tangent to each side.

Cyclic Quadrilateral

A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle.