What are the values of x and y if ABCD is a parallelogram?

$[2 M a r k s]$

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Solution

Since ABCD is a parallelogram, AB || CD
⇒ ∠CDB = ∠ABD and ∠CBD = ∠ADB (Alternate interior angles)
$[1 M a r k]$
Hence, 3y = 2x ————(i)
And x + y = 50° ——————- (ii)
Solving equation i and ii, x = 30°, y = 20°.
$[1 M a r k]$

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