Question

In the adjacent figure,lines AB and CD are intersecting at point 'O' and angle EOB=80°,then find the values of x,y,z.

Answer 1

measurement of angle AOD=COB
by vertically opposite angles are congruent
as well as AOC equal to BOD
by congruence of triangles
X=3y,. 80+y=z
X+X+y+80+y+80=360
2x+2y=200
X+y=100
X=100-y
100-y=3y
y=25
substitute the value of Y
X=25×3=75
z=80+25=105
hope you got it