CCGPS AG 3.2.3 Example 1

Consider the inscribed quadrilateral in the following diagram. What are the relationships between the measures of the angles of an inscribed quadrilateral?

[list=1] [*]Find the measure of [math]\angle B[/math]. [*]Find the measure of [math]\angle D[/math]. [*]What is the relationship between [math]\angle B[/math] and [math]\angle D[/math]? [*]Does this same relationship exist between [math]\angle A[/math] and [math]\angle C[/math]? [*]State your conclusion. [/list]