Multiple choice

AB is a chord to a circle and PAT is the tangent to the circle at A. If ∠ BAT = 750 and ∠ BAC = 450, C being a point on the circle, then ∠ ABC is equal to- AB एक वृत्त की जीवा है और PAT वृत्त की A पर स्पर्श रेखा है। यदि ∠ BAT = 750 और ∠ BAC = 450, C वृत्त एक बिन्दु है, तो ∠ ABC है

  1. 400

  2. 450

  3. 600

  4. 700
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

By tangent-chord theorem: angle between tangent and chord equals angle in alternate segment. So angle BAT = angle BCA = 75. In triangle ABC: angle BAC + angle ABC + angle BCA = 180. 45 + angle ABC + 75 = 180. Angle ABC = 180 - 120 = 60 degrees. Use alternate segment theorem to relate angles.

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