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UkoKoshka [18]
2 years ago
8

AB and DE are chords that intersect at point F inside circle C as shown. If the measure of arc EA = 40° and the measure of arc D

B = 70°.
What is the measure of ∠AFE?

Select one or more:
a. 700
b. 400
c. 1250
d. 550

Mathematics
1 answer:
nexus9112 [7]2 years ago
8 0

Answer:

d) \ 55\textdegree

Step-by-step explanation:

-we apply the relationship of chords intersecting within a circle:

-when two chords intersect to form a vertex of an angle within a circle, the measure of the angle is equal to one-half the sum of the measures of the two arcs intercepted by the angle and its vertical angle:

\angle AFE=0.5(arc\  EA +arc \ BD)\\\\=0.5(40+70)\\\\=55\textdegree

Hence, the measure of ∠AFE is 55°

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