Question

In a triangle ABC , if angle A - angle B = 33° and angle B - angle C = 18 ° , then angle B = ​

Answer 1

$\huge\mathcal\pink{ANSWER:-}$

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=33

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

Answer 2

}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=33

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