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Elements of a Parallelogram

In the given ...

Question

In the given figure
$∠ A + ∠ B + ∠ C + ∠ D + ∠ E$ is equal to

\frac{π}{2}

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π

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\frac{3 π}{2}

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2 π

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Solution

The correct option is B $π$
$∠ E + ∠ C + ∠ 1$
Similarly
$∠ A + ∠ D = ∠ 2$
$\Rightarrow ∠ E + ∠ C + ∠ A + ∠ D + ∠ B$
$= ∠ 1 + ∠ 2 + ∠ B = π$

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