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professor190 [17]
4 years ago
10

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

Mathematics
1 answer:
valkas [14]4 years ago
3 0
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°
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