Question

In circle A shown below, m Arc BC is 61° and m Arc EF is 76°

Answer 1

Answer:

The correct answer among the choices provided is the fourth option. The calculated result of the angle FDE is 68.5°. Whenever two chords cut across a circle, the resulting angle is equivalent to half of the sum of the measurements of the arc the angle intersects and that which the angle vertical to the first angle intercepts.

m<FDE = 1/2( Arc BC + Arc 76)

m<FDE = 1/2 (61° + 76°)

m<FDE = 137/2 = 68.5°