Question

In each of the following figures, AB || CD and EF is a transversal. Find each one of theunknown angles x, y, z in each case.

Answer 1

Answer:

Step-by-step explanation:

In fig(i)

x=55° ( VOA)

y=x=55° ( corresponding angles)

y+Z=180°

z=180-y=180-55=125°

**********************

fig (ii)

z=180-130=50

x=130

and y=z=50 (( corresponding angles)

*******************

fig(iii)

z=40 (VOA)

y=z=40 (Alternate angles)

x+y=180

x=180-y=180-40=140

Answer 2

Step-by-step explanation:

i. x=55(vertically opposite angle)

x=y (corresponding angle)

y=55

y+z=180 (linear pair)

55+z=180

z = 180-55=125

ii. x=130( corresponding angle )

x+y =180(linear pair)

130+y=180

y =180-130=50

y =z ( corresponding angle)

iii. z=40°(vertically opposite angle)

y=40°(corresponding angle)

x+y=180°(linear pair)

x+40= 180°

x = 180-40=140°

vertically opposite angles are equal

corresponding angles are equal

alternate interior angles are equal

alternate exterior angles are equal

linear pair =sum of angles is 180°

please support if this is helpful for you