Question

In the adjoining figure , if a+b+c = 180 , prove that x= b+c.

Answer 1

Answer:

a+b+c = 180 because sum of all angles of the triangle is 180.

therefore b+c=180-a...(1)

Now,x+a=180 because they are linear pair angles.

therefore x=180-a...(2)

from (1)and(2)

x=b+c

Hence proved.