Question

In any triangle ABC, if angleA - angleB = 33° and angleB – angleC = 18°, then find the value of angle B.​

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=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