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Calculate the size of θ in the given diagram ( see image).
O is the center of the circle.​

Calculate the size of θ in the given diagram ( see image). O is the center of the-example-1

1 Answer

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Answer:

  • 42°

Explanation:

  • The triangle is isosceles as two sides are radius.
  • The central angle and the tangent chord angle refer to same arc.
  • Tangent chord angle is half the size of the central angle.

The central angle is:

  • 2*48° = 96°

The other angles in the triangle are equal:

  • ∠θ = 1/2(180° - 96°) = 1.2(84°) = 42°
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