Question

in the adjacent figure ABC is a triangle in which<b=50° and <c=70° sides AB and AC are produced. if 'z' is the measure of the angle between the bisector of the exterior angles so formed, then find 'z'​

Answer 1

Answer:

AB is straight line

x+x+50=180

2x+50=180

2x=130

x=65

Also y+y+70=180

2y=110

y=55

Now in ΔBCD

65+55+z=180

⇒z=180−120

z=60