Question

In a triangle ABC, if angle A- angle B=33^ and angle B- angle C=18^ , then the measure of angle A is (a) 88 ^ 0 (b) 55 ^ 0 c) 37 degrees (d) 60 ^ 0 °​

Answer 1

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Answer 2

Step-by-step explanation:

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

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