Question

question 7 of 10 the measure of ⁀def is 184°. what is the measure of ∠dfg, the tangent - chord angle? a. 184° b. 102° c. 92° d. 94°

Explanation:

Step1: Recall tangent - chord angle formula

The measure of a tangent - chord angle is half the measure of the intercepted arc.

Step2: Identify the intercepted arc

The intercepted arc for ∠DFG is arc DEF, and its measure is 184°.

Step3: Calculate the measure of ∠DFG

Let the measure of ∠DFG be x. Then $x=\frac{1}{2}\times184^{\circ}=92^{\circ}$.

Answer:

C. 92°