Question

In a triangle ABC , if Angle A - Angle B =40degree and Angle B - Angle C = 10 degree, find the measure of Angle A,Angle B,Angle C

Answer 1

Answer:

Step-by-step explanation:

A -B = 40 .................................1

B -C = 10 ..................................2

Therefore , we get,

        A - C = 50...........................5

Adding 2 and 5, we get,

 2.........B - C = 10

 5.........A - C = 10

=> A + B = 60..........................6

Adding 1 and 6 , we get,

1...............A - B = 40

6..............A + B = 60

Therefore ,

                   A = 100

Equating on eq. 1, we get,

                  A - B = 40

                  100 - B = 40

                  B = 60

Equating on eq.2 , we get,

                  B - C = 10

                  60 - C = 10

                 C=   50