The side BC of a triangle ABC is proceed to D. If ∠ACD=112º and ∠B =3/4∠A :

The side BC of a triangle ABC is proceed to D. If ∠ACD=112º and ∠B =3/4∠A, then the measure of ∠Bis

  1. 48o
  2. 45o
  3. 64o
  4. 30o
Anurag Mishra Professor Asked on 29th December 2015 in Maths.
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  • 1 Answer(s)

    Answer is 48 degree

    Explanation:-
    For the answer  look at the below diagram  according to the question
    triangle 1
    ∠B = 3/4 ∠A
    As we know that ∠A + ∠B = ∠ACD,
    Then, ∠A + 3/4∠A = 112º
    (4∠A + 3 ∠A)/4 = 112º
    7 ∠A = 4 x 112º
    ∠A = 4 x 16º
    ∠A = 64º

    Then, ∠B = 3 x 64/4
    ∠B  =3 x 16
    ∠B = 48º

    Then, the value of ∠B is 48º.

    Hence, the correct answer is option (1) 48º.

     

    Monis Rasool Professor Answered on 29th December 2015.
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