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what is the value of x?

What Is The Value Of X class=

Sagot :

Hrishiiidn

Answer:

x = 30

Step-by-step explanation:

  • The sides of the [tex]\triangle[/tex] formed by chord and two radii are equal.

  • [tex]\implies [/tex] measure of each angle of the[tex]\triangle[/tex] is 60°.

  • [tex]tangent \perp radius [/tex] (By tangent theorem)

  • [tex]\implies m\angle[/tex] at point of contact of tangent and radius is 90°

  • -> x° + 90° + 60° = 180° (By interior angle sum theorem of a triangle)

  • -> x° + 150° = 180°

  • -> x° = 180° - 150°

  • -> x° = 30°

  • x = 30
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