Question

BEST is a parallelogram.find the values x,y and z.​

Answer 1

Answer:

S is opposite to B.(Attachment 1)

So,

x=100°(opposite angles property)

y=100°(measure of angle corresponding to x)

z=80°(since y,x is a linear pair)

Lets try to understand with the help of example,

We now turn our attention to adjacent angles of parallelogram.Parallelogram ABCD(Attachment 2)

∠A and ∠D are supplementary since DC||AB and with transversal DA,these two angles are inteior opposite.

• ∠A and ∠B is also supplementary.

Reason:-Because the some of two angles on one line is 180°.

AD||BC and BA is a transversal,making ∠A and ∠B interior opposite.

Property:The adjacent angles in a parallelogram are supplementary.