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Question
ABCD is a parallelogram. Find the value of x, y and z.
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Solution
Given, A parallelogram ABCD.
In the ΔOBC, we have
y + 30° = 100° ...[Exterior angle property of triangle]
⇒ y = 70°
By the angle sum property of a triangle,
We have, x + y + 30° = 180°
⇒ x + 70° + 30° = 180°
⇒ x = 180° – 100°
⇒ x = 80°
Now, since AD || BC and BD is transversal,
Therefore, ∠ADO = ∠OBC ...[Alternative interior angles]
⇒ z = 30°
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