Question

find x and y in this parallelogram​

Answer 1

Answer:

x=30°

y=60°

Step-by-step explanation:

Let the point of intersection between the two diagonals be O

So angle AOD=180°-100°=80°

Now applying Angle Sum Property in triangle AOD,

40°+80°+y=180°

=> 120°+y=180°

=> y=180°-120°

=> y=60°

Now, Since AB || CD (figure is a ||gm)

Angle OBA= Angle ODC=50° ( Alternate Interior Angles)

So, applying Angle Sum Property in triangle COD,

100°+50°+x=180°

=> 150°+x=180°

=> x= 180°-150°

=> x=30°

Ans: x=30°

y=60°

HOPE IT HELPS

:-)