How do I find the arc of this angle FE

In the given problem the line DE passes through the center of the circle hence the line DE is the diameter of the circle.

From the property of the circle the angle subtended by the diameter on the circle is a right angle.

Hence angle DFE is 90 degrees.

In triangle DFE,

Thus, the arc FE subtends 27 degrees at the circle.

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x