SOLUTION: Find the value of x. Copy and paste link to view image. https://ibb.co/RNc88t6 a. - 5 b. 20 c. - 1.5 d. 11.4 My answer was a.

Algebra ->  Formulas -> SOLUTION: Find the value of x. Copy and paste link to view image. https://ibb.co/RNc88t6 a. - 5 b. 20 c. - 1.5 d. 11.4 My answer was a.      Log On


   



Question 1142855: Find the value of x. Copy and paste link to view image.
https://ibb.co/RNc88t6
a. - 5
b. 20
c. - 1.5
d. 11.4
My answer was a.

Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Your answer is INCORRECT.


To get the correct answer and the correct solution, us the


    Theorem 1.  The measure of the angle between a chord and a tangent line to a circle at the endpoint of the chord 

                is half the measure of the arc stretched by the chord.



This theorem is well known Geometry statement.

    See, for example, the lesson
         - The angle between a chord and a tangent line to a circle
    in this site.



From the Theorem,  


    5x = %289x+%2B20%29%2F2,


which implies


    10x = 9x + 20,

      x = 20 degrees.            ANSWER

Solved.

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In this site,  you have this free of charge online textbook on Geometry
    GEOMETRY - YOUR ONLINE TEXTBOOK

The referred lesson is the part of this online textbook under the topic  "Properties of circles, their chords, secants and tangents".


Save the link to this online textbook together with its description

Free of charge online textbook in GEOMETRY
https://www.algebra.com/algebra/homework/Triangles/GEOMETRY-your-online-textbook.lesson

to your archive and use it when it is needed.