📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

  • google app store apple app store
  • ✖

      Question

      An equilateral triangle ABC is inscribed in a circle

      with centre O. D is a point on the minor are BC and ∠ CBD = 40°. Find the measure of ∠ BCD.
      A 40° Correct Answer Incorrect Answer
      B 30° Correct Answer Incorrect Answer
      C 50° Correct Answer Incorrect Answer
      D 20° Correct Answer Incorrect Answer

      Solution

      ∠ABC = ∠ACB = ∠BAC = 60° [∵ ΔABC is an equilateral triangle] Also, ∠BAC + ∠BDC = 180° ⇒ 60° + ∠BDC = 180° ⇒ ∠BDC = 180° - 60° = 120° Also, ∠CBD + ∠BDC + ∠BCD = 180° ⇒ 40° + 120° + ∠BCD = 180° ⇒ ∠BCD = 180° - 40° - 120° = 20° ∴ The value of ∠BCD is 20°

      Practice Next

      Relevant for Exams:

      ask-question