# 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

- 48
^{o} - 45
^{o} - 64
^{o} - 30
^{o}

**Answer is 48 degree **

**Explanation:-**

For the answer look at the below diagram according to the question

∠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.