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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