Question

What is the value of x?

Answer 1

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