Question

in triangle ABC, angle A = angle C and angle B = angle A + angle C. find the measures of the angles of the triangle.

Answer 1

LET A=x
we know that A=C ; C=x
SO B = A+C
     B = x+x
     B = 2x

we know that 
sum of angles in a triangle = 180
                           A+B+C = 180
                           x+2x+x = 180
                                  4x = 180
                                   x = 180/4
                                   x = 45

A = x = 45

B = 2x = 2(45) = 90

C = x = 45

this is right angled triangle and also isosles triangle