Question

Can someone please explain?
The given circular diagram is constructed with eight evenly spaced points around the circumference of the circle. As the circle is being physically constructed, the construction crews note that the measure of angle DBF is ___ degrees, to the nearest degree.

Answer 1

First I would start with labeling all of the angles on the picture that you know, for example, you know a square has 4 90 degree angles, and if a circle has 360 degrees, then each piece of it (from the center point) is 45 degrees.

Answer 2

ok

Answer 3

From the picture, the triangle DBF is a right triangle, with two congruent sides. Because two sides of a square are always equal, assuming this is a perfect circle. If two sides in a triangle are congruent, then the corresponding angles are also congruent. Therefore, angle DBF is 45 degrees. I hope this is enough information to explain it.

Answer 4

There are a ton of ways to solve this so whichever way you choose works, as long as you can prove it.

Answer 5

would angle ECA be the same?