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AP EAMCET202018 Sep 2020Morning ShiftMathematicsProperties of TrianglesActual

In a ( A B C, b: c= 3 : 2 ) and the angles (A, B ), (C ) are in ( AP ), then ( A= )

Options

  1. A(45^ )
  2. B(65^ )
  3. C(55^ )
  4. D(75^ )

Correct answer

D. (75^ )

Step-by-step solution

It is given that in a ( A B C ), angles (A, B, C ) are in (A P ), so (B=60^ ). ( A+B+C=180^ ) and it is also given that, ( gathered b c = 3 2 B C = 3 2 3 C = 3 2 C= 1 2 C=45^ gathered ) So, angle (A=180^ -B-C=180^ -105^ =75^ )

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