Question

in fig ABCD is a parellogram find the values of x,y,z

plz tell ​

Answer 1

Answer:

Here, adjacent angles are of 180 °

So, angle ABC= 180° – angle CBE

angle ABC = 180°–60°

angle ABC = 120°

and, angle A = 60°

So, therefore,

angle x = 10°.

Now,

We all know that opposite angles of a parallelogram are congruent.

i.e angle BCA= 50° which is also y.

here we know that diagonal bisects the opposite angles so,

angle BCD = 50°+10°

=60°

and,

180° = angle BCD + angle CDA( which is z)

so, 180° = 60° + angle CDA

angle CDA = 180°–60° i.e 120°

Your answer is x= 10°, y = 50° and z = 120°

Friend can you just tell me that the digonals of a parallelogram are angle bisectors so why this fig. is so confusing.???????