$A B C D$ is a parallelogram $m ∠ A = (2 x + 50)$ and $m ∠ C = (3 x + 40)$ , then find the value of $x$ .

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Solution

In a parallelogram, opposite angles are equal
$\Rightarrow ∠ A = ∠ C \Rightarrow 2 x + 50 = 3 x + 40 \Rightarrow x = 10$

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