Question

in the figure AB is parallel to CD and CD is parallel to EF and BC is parallel to ED .Find the value of x and y when angle E is 62°​

Answer 1

Answer:

x=62 degree

y=118 degree

Step-by-step explanation:

since CD is parallel to EF

we know that angle CDE and angle DEF are interior alt angles. Thus they are equal

therefore x=62

According to the properties of the parallelogram

adj angles are supplementary thus angle BCD is equal to 180-62= 118 degree

and also angle ABC is equal to BCD because they are interior alt angles thus y= 118 degree