Question

Find x+y in the parallelogram MNOP

Answer 1

Answer:

Consider parallelogram MNOP

From the figure, ∠POQ=120∘ 

We know that, sum of angles linear pair is equal to 180∘

So,∠POQ+∠PON=180∘120∘+∠PON=180∘∠PON=180∘−120∘∠PON=60∘ Then, ∠M=∠O=60∘... [because opposite angles of parallelogram are equal]

∠POQ=∠MNO120∘=120∘... [because corresponding angels are equal] 

Hence y=120∘

Also, z=y

120∘=120∘

Therefore, x=60∘,y=120∘ and z=120∘