Question

In circle A, marc BC is 71° and marc EF is 78°: Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, creating angle EDF. The measure of arc BC is 71 degrees, and the measure of arc EF is 78 degrees. What is m∠FDE? 35.5° 74.5° 39° 78°

Answer 1

Answer:

74.5

Step-by-step explanation:

Since the angles are not on the center of the circle, we use this formula:

71+78/2= 74.5

Answer 2

The measure of the angle FDE is 74.5 degrees if in circle A, marc BC is 71° and marc EF is 78°: Points B, C, E, and F lie on Circle A option second 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)

The figure is attached to the picture, please refer to the picture.

We have:

In the figure, two chords intersect each the.

The angle ∠FDE is equal to the half of the sum of the arc BC and EF:

Angle FDE = (1/2)[71+78]

Angle FDE = 74.5 degrees

Thus, the measure of the angle FDE is 74.5 degrees if in circle A, marc BC is 71° and marc EF is 78°: Points B, C, E, and F lie on Circle A option second is correct.

Learn more about circle here:

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