Question

The measure of DEF is 184. What is the measure of DFG, the tangent-chord angle?

Answer 1

The correct answer is 92°!! Plz Come Add Me!!! APEX!!!!!!

Answer 2

In the diagram, given is a circle with chord DF and tangent FG.

Given is the measurement of arc DEF = 184 degrees.

It says to find measurement of the angle ∠DFG = ?

We can use the formulas for Circle Angles as given below :-

Tangent-Chord Angle = Half of the measure of intercepted arc.

Angle ∠DFG = half of the measure of arc DEF.

Angle ∠DFG = $\frac{1}{2}*(184 \;degrees) = 92 \;degrees.$

Hence, option D is correct, i.e. 92 degrees.