Question

In a triangle ABC, 3a=2c=a+b, find all the angles​

Answer 1

Answer:

a=40, b = 80, c = 60

Step-by-step explanation:

Adding c to all the equations, we have

3a+ c = 3 c= a+b+c

Now, a + b + c= 180 (sum of angles of a triangle)

Therefore, 3c = 180 or c = 60°

Also, 3a + c = 180

Therefore, 3a = 120 or a = 40

Hence b = 180 - 60 - 40 = 80