Question

In the figure given below , l and m are parallel lines . If triangle BAC =50 degree and triangle GBD = 70 degree ,find the values of x,y and z.​

Answer 1

angleGBD=angleABC (V.O.A)

angleABC=70°

Sum of triangles ABC=180°

angleABC+angleBAC+angleACB=180°

70°+50°+angleACB=180°

angleACB=180°-120°

angleACB=60°

GL is straight line=180°

angleACB+ACL=180°(linear pair)

60°+angleACL=180°

angleACL=180°-60

angleACL=120°

angle x=120° (answer)