In the following diagram, DCGF is a cyclic quadrilateral and EC is a diameter that goes through the center of circle B.

Question

Write at least four unique statements about the measures of angles and arcs in this diagram. Justify your statements.

Answer 1

Are you able to provide any more information about what the diagram looks like? Usually on this type of question you would be looking for the idea that angles inscribed in a semicircle are a right angle, and that the opposite angles of a cyclic quadrilateral are supplementary.

If you could share the exact diagram we could go over how to write those relationships for your figure together :)