If in a quadrilateral each pair of opposite angle is equal then prove that it is a parallelogram

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-x2220-B-x2220-D-x2220-A-x2220-C-x2223-x2223-x2223-given-x2220-A-x2220-B-x2220-C-x2220-D-360-x2218-x2220-A-x2220-B-1800-conditionofparallelogram-x2234-Itwouldbeaparallelogram

If in a quadrilateral each pair of opposite angle is equal then prove that it is a parallelogram

∠B=∠D∠A=∠C∣∣∣given∠A+∠B+∠C+∠D=360∘∠A+∠B=1800}conditionofparallelogram∴Itwouldbeaparallelogram

$\begin{matrix} ∠ B = ∠ D ∠ A = ∠ C \end{matrix} ∣ ∣ ∣ g i v e n ∠ A + ∠ B + ∠ C + ∠ D = 360^{\circ} ∠ A + ∠ B = 180^{0}} c o n d i t i o n o f p a r a l l e l o g r a m ∴ I t w o u l d b e a p a r a l l e l o g r a m$