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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?)

what Is the measure of minor Ark DF given that line DE and line FE are tangent to o0also if you knkw what does that o0 lookkng sign mean class=

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paigecropsey
It is B) 96 because a full circle is 360 degrees, DF=264. so 360-264=96

Answer:

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.

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