Respuesta :

DeanR

EF is tangent to the circle we'll assume; otherwise there's no progress.


Call the center C. ECD is isosceles, formed from two radii and the chord.


Angle CED is complementary to DEF


CED = 90 - 65 = 25 degrees


CDE is congruent, isosceles triangle and all that: CDE=25


That leaves DCE=180-25-25=130 degrees


That's the measure of arc DE as well:


Answer: 130 degrees, choice A

The measure of DE is 130 degrees if the measure of DEF is 65 option (A) is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

The measure of DEF = 65 degrees

C is the center.

Angle CED = 90 - 65 = 25 degrees

Angle DCE = 180 - 25 - 25

Measure of DE = 130 degrees

Thus, the measure of DE is 130 degrees if the measure of DEF is 65 option (A) is correct.

Learn more about circle here:

brainly.com/question/11833983

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