Question

In a triangle ABC, Angle A- Angle B=33° and Angle B- Angle C= 18°, find the measure of each angle of the triangle.

Answer 1

Answer:

a=88

b=55

c=37

Step-by-step explanation:

In triangle ABC

a-b=33

a=33+b       --------- (i)

b-c=18

c=b-18           ------- (ii)

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