Step 1: Construct a circle through three points not on a line. a) Points D, E, and Fare not in a line. To construct a circle through points D, E, and F, begin by drawing line segments DE and EF. Then construct the perpendicular bisectors of DE and EF, and name the point of intersection of the perpendicular bisectors O. How do you know that point o is the center of the circle that passes through the three points? (10 points)​

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80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh

answer: the answer is 110