Question

What is the measure of minor arc DF, given that DE and FE are tangent to
00?
OA. 168°
OB. 84°
OC. 264°
OD. 96°
264
0.
D
E
84°

Answer 1

The measure of the angle is 96°.

How to calculate the angle?

Line DE and line FE are tangents to the circle.

∠DEF = 84°

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 the correct option is 96°.

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