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20 votes
20 votes
What is the value of x?

What is the value of x?-example-1
User Dharan
by
2.2k points

1 Answer

15 votes
15 votes

Answer:

x = 30

Explanation:

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


  • \implies measure of each angle of the
    \triangle is 60°.


  • tangent \perp radius (By tangent theorem)


  • \implies m\angle 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
User Hannington Mambo
by
2.7k points
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