From an external point , two tangents and are drawn to a circle with centre . If , what is the measure of ?

Answer and explanation

Correct answer: C.

  1. Step 1: Recall that the tangent at any point of a circle is perpendicular to the radius through the point of contact. Hence, and .
  2. Step 2: In quadrilateral , the sum of interior angles is : .
Answer
.
Why not the others: '' assumes angles are equal; '' assumes tangents are mutually perpendicular; '' makes an arithmetic subtraction error from 360.

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