asked 84.1k views
4 votes
Find the value of x.
A. 66
B. 74
C. 56
D. 48

Find the value of x. A. 66 B. 74 C. 56 D. 48-example-1
asked
User Fractale
by
7.9k points

1 Answer

2 votes

Answer:

C. 56

Explanation:

angles - exterior.

the angle at the intersection of the secants (yes, also a tangent is a secant, it is just that both intersection points with the circle are "falling" into the same point) is half of the outside arc angle minus the inner arc angle.

so,

72 = (200 - x)/2

144 = 200 - x

-56 = -x

x = 56

answered
User Allie Moosa
by
8.5k points

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