Question

In figure, if AB ║ CD, CD ║ EF, AE ⊥ EF and θ = 140 , then

find values of x,y,z and w.​

Answer 1

Answer:

In figure, if AB ║ CD, CD ║ EF, AE ⊥ EF and θ = 140 , then  values of x = 125 ,y = 125,z = 35

Step-by-step explanation:

Please check the images attached below

Answer 2

SINCE,DC//EF , and Angle FED=140°...then

Angle FED = Angle FCD =140°...(Opposite interior angles)

angle CFE =40°...(Sum of co-interior angles =180°)

angle CFE = angle EDC = 40°...(Opposite interior angles)

Since,AB//DC...then

ANGLE EDC + ANGLE ADC = 180°

40° + ANGLE ADC =180°...(straight lines)

ANGLE ADC= 140°

ANGLE ADC = ANGLE ABC = 140°...(Opposite interior angles)

ANGLE FCD + ANGLE BCD = 180°...(straight lines)

140° + ANGLE BCD = 180°

ANGLE BCD = 40°

ANGLE BCD = ANGLE BAD = 40°...(Opposite interior angles)