Consider the diagram below. which of the following statements are correct? select all that apply

  see the attachment

Step-by-step explanation:

• When two secants intersect a circle the measure of the angle between them is half the difference of the intercepted arcs. Tangent DH is a degenerate case of a secant in which both points of intersection are the same point (D). Thus ∠GHD is half the difference of arc GD and ED.

• We assume points B and C are on radii DA and EA, respectively. Hence arc DE has the same measure as ∠BAC, and ∠DGE has half that measure.

• Tangent DH will intersect radius DA at right angles. Hence ∠ADH = 90°.

• ∠DHE = ∠DHG, whose measure is given by the formula in the first answer choice. The formula in the 4th choice is different (and wrong).

• ∠DGE and ∠BFC both intercept arcs with the same measure. Neither is greater than the other: they are equal in measure.

• Inscribed triangle DGE cannot be a right triangle because none of its sides is a diameter of the circumcircle.