Question

in the diagram given below find the angles x,y and z.

Answer 1

vertically opposite angle to 110degree is 110degree. this angle is an allied angle to y. so y+110 = 180. so y = 70degrees. x, y and 50 are angles in same triangle. So x+y+50=180, so x= 180-50-70= 60degree. x and z are corresponding angles so z also equals 60degrees

Answer 2

110° is equal to angle 1. ( vertically opp. angle)

angle y = angle 1 ( co interior angle)

so, triangle yx and angle 50° is forming a trinagle.

x + y + 50 = 180°
x= 180 -50-70

x= 60°
x and z are forming corresponding angle

so. z = 60°