Question

In a triangle ABC angle B is 9degree grater than angle C and angle B is 27 degree less than angle A if sum of three angle is 180 then find all three angle

Answer 1

Answer:

Let the angles be A,B,C .

A.T.Q       B = C + 9

               B = A - 27

Equating both the eq. we get,

C + 9 = A - 27

=> C = A - 36

Therefore A + A - 27 + A - 36 = 180

3A - 63 = 180

=> 3A = 180 + 63

=> A = 243/3

=> A = 81°

Substituting the value of A into both eq. we get,

C = A -36

=> C = 81 - 36

=> C = 45°

B = C + 9

=> B = 45 + 9

=> B = 54°