Question

I will award brainless to the person that actually explains how they got their answer other then “It’s right on edge”

Points D, E, and F are on circle C and EF ≅ DF.

Circle C is shown. Line segments D C and E C are radii. Point F is on the opposite side. Lines are drawn from points D and E to point F. Tangents D G and E G intersect at point G. Angle D G E is 76 degrees and angles G D C and G E C are 90 degrees. D F and E F are congruent.

What is the measure of ∠CDF?

14°
19°
26°
38°

Answer 1

C. 26 degrees

Explanation:

Just did the review on Edg (2021)!!

Answer 2

14°

Explanation:

Angle DCE is congruent to Angle GDF

To find the measure of Angle CDF, you need to find the measure of Angle DCE first.

360° = 76° + 90° + Angle DCE + 90°

360° = 256° + Angle DCE

Angle DCE = 104°

Then you subtract 90° from 104° (Angle DCE) to get the measure of Angle CDF

104° - 90° = 14°

Angle CDF = 14°