Question

In a triangle ABC, if /_A - /_B = 33° and /_B - /_C = 18°, then /_B is​

Answer 1

Answer:

In triangle ABC

a - b = 33

a = 33 + b----1

b - c = 18

c=b-18---2

Now in triangle abc by angle sum property

a + b + c = 180

33 + b + b + b - 18 = 180

(by 1 and 2)

15 + 3b = 180

3b = 180 - 15

3b = 165

b = 165/3

b = 55

Now put value of b in eq. 1 and 2

a - b = 33

a - 55 = 3

a = 33 + 55

a = 88

b - c = 18

55 - c = 18

c=55-18

c = 37

Your answer is:

a = 88

b = 55

c = 37