Question

ABCD is a parallelogram. find the value of x,y and z. in the following...

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Answer 1

x=180°-100°[linear pair]

x=80°

y=180°-x-30°[Angle sum property ]

y=180°-110°

y=70°

z=30°[alternate angles]

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Answer 2

       

Let the point of intersection of the diagonals be O.

     

∠AOB and ∠BOC are linear pairs.

∴ x = 180° - 100° = 80°

In ΔBOC,

y = 180° - (x + 30°)

⇒ y = 180° - (80° + 30°)

⇒ y = 180° - 110°

⇒ y = 70°

Here, AD ║ BC.

∴ z = 30°    (Alternate)

Hope this helps.

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