Multiple choice

Two circles touch each other externally at P. AB is a common tangent to the circles touching them at A and B. The measure of ∠APB is -

  1. 45o

  2. 60o

  3. 90o

  4. 75o
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When two circles touch externally at point P and AB is a common tangent, the radii to the points of tangency are perpendicular to the tangent. The angle between the two radii at P is supplementary to angle APB. For externally tangent circles, this angle is always 90°, making ∠APB a right angle.

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