Question

Find the lettered angles in each case :

Answer 1

Here,

Angle x = Angle FAE (vertically opposite angle)

Angle x = 70°

Angle z = 180°- AngleACD (Linear pair)

Angle z = 180° - 110°

Angle z = 70°

Now ,

In ∆ABC ,

x + y + z = 180°(sum of angles of a triangle is 180°)

70° + y + 70° = 180°

140° + y = 180°

y = 180° - 140°

y = 40°

So finally ,

x = 70°

y = 40°

z = 70°.....

Answer 2

x = 70° (Vertical Opposite Angle)

z = 180° - angle FCD ( linear pair)
z = 180° - 110°
z = 70°

angle x + angle y + angle z = 180° ( Angle sum property of a triangle)

=> 70° + y + 70° = 180°
=> 140° + y = 180°
=> y = 180° - 140°
=> y = 40°

x = 70°
y = 40°
z = 70°

HOPE IT HELPS YOU....