📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!
  • google app store apple app store
    • ✖

      Question

      In triangle ABC, ∠A - ∠B = 16 ° ,

      whereas ∠A - ∠C = 8 ° , find ∠B.
      A 52° Correct Answer Incorrect Answer
      B 60° Correct Answer Incorrect Answer
      C 54° Correct Answer Incorrect Answer
      D 62° Correct Answer Incorrect Answer

      Solution

      Since, ABC is a triangle,

      So, ∠A + ∠B + ∠C = 180 °  .......... (I)

      Also, ∠A - ∠C = 8 °  .......... (II)

      On subtracting equation (II) from equation (I), we have;

      2∠A + ∠B = 188 °  .......... (III)

      Also, ∠A - ∠B = 16 °  ........ (IV)

      On adding equation (III) and (IV), we have;

      3∠A = 204 °

      Or, ∠A = 68 °

      So, ∠B = 68 °  - 16 °  = 52 °

      Practice Next
      More Trigonometry Questions
      ask-question