Respuesta :

calculista

Answer:

[tex]x=39\°[/tex]

Step-by-step explanation:

we know that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite

so

[tex]40\°=\frac{1}{2}(41\°+x\°)[/tex]

[tex]80\°=(41\°+x\°)[/tex]

[tex]x=80\°-41\°=39\°[/tex]

akposevictor

Using the angle of intersecting chords theorem, the value of x in the circle is: A. 39.

What is the Angle of Intersecting Chords Theorem?

When two chords in a circle intersect, the vertical angles formed at the point of their intersection equals half of the sum of the intercepted arcs according to the angle of intersecting chords theorem.

40 = 1/2(41 + x) [angle of intersecting chords theorem].

2(40) = 41 + x

80 = 41 + x

80 - 41 = x

39 = x

x = 39. (option A)

Learn more about the angle of intersecting chords theorem on:

https://brainly.com/question/23732231

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