Çemberde Açı Sorusu

O merkezli çember

AC // ED

AC $\cap$ FD = {O}

m(BOC) = 60°

m(DFB) = x

Yukarıdaki şekilde [AC] ve [BE], O merkezli çemberin çaplarıdır.

Buna göre, x kaç derecedir?

A) 75

B) 80

C) 90

D) 105

E) 120

Soruda görsel içerik var: A circle with center O is shown. AC and BE are diameters intersecting at O. Points A, B, C, D, E lie on the circle circumference. AC is parallel to ED. Angle BOC is 60 degrees. An angle marked x is at vertex F, which is on the segment AB. There is also a small triangular diagram to the right illustrating some geometric property related to angles and segments, showing a triangle with sides labeled r, an angle of 60 degrees bisected by a altitude, and a base divided into two equal parts.