In a parallelogram ABCD,
$A = (2 x + 20) °, B = (3 x - 30) °$ . Find the value of $x .$

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Solution

Sum of the consecutive angles in a parallelogram is $180 °$ .
i.e., $∠ A + ∠ B = 180 ° \Rightarrow 2 x + 20 + 3 x - 30 = 180 ° \Rightarrow 5 x - 10 = 180 ° 5 x = 190 ° x = 38 °$
Hence, the value of $x = 38 °$

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