What is the measure of minor ark. df given that line de and line fe are tangent to o0(also if you knkw what does that o0 lookkng sign mean? )

Option B is correct.

Step-by-step explanation:

Given:

Circle with center O.

line DE and line FE are tangents to the circle.

∠DEF = 84°

To find: measure of minor arc that ∠DOF.

Construction: Join DO and FO.

We know that Tangents are perpendicular to the radius at point of contact.

⇒ ∠EDO = ∠EFO = 90°

Now, In Quadrilateral ODEF

∠DEF + ∠EDO + ∠FDO + ∠DOF = 360°  ( Angle Sum Property of Quadrilateral )

84° + 90° + 90° + ∠DOF = 360°

∠DOF = 360 - 264

∠DOF = 96°

Therefore, Option B is correct.