Question

find the measure of X, Y ,Z in each of the given parallelogram . also state property is used​

Answer 1

We know,

Opposite angles of a parallelogram are equal , So

==> z = 138°

Now,

Opposite sides are parallel and taking adjacent side as transversal.

So,

==> z + x = 180°

==> x = 180° - 138°

==> x = 42°

Also,

Oposite angles of a parallelogram are equal, so

==> x = y

==> y = 42°

Similarly,

Opposite

Answer 2

let angle 138 = angle p

p+y=180

138+y =180

y=42

p+x=180

138+x=180

x=42

Now

x+z =180

42+z=180

z=138

Step-by-step explanation:

wetake adjacent angles because we know that

IF ab//cd and ac is transversak

then adjacent angles will be of 180 taken together