Triangle has a right angle at , . Point lies on a circle where is a diameter. Which is the size of ?

Answer and explanation

Correct answer: C. 52°

  1. Step 1: The angle in a semicircle is , which agrees with the right angle at .
  2. Step 2: Angles in a triangle add to : .
Answer
52°.
Why not the others: 38°: This is the given angle at , not the angle at . 142°: This is , ignoring the right angle. 90°: This is the angle at .

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