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

Open in App

Solution

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

Suggest Corrections

Similar questions

Prove that if in a quadrilateral each pair of opposite Angles are equal then it is a parallelogram.

Prove that if both pairs of opposite angles of a quadrilateral are equal, then it is a parallelogram. [3 MARKS]

If each pair of opposite angles are equal in a quadrilateral. Prove that it is a parralelogram.

Prove that if one pair of opposite sides of a quadrilateral are equal and parallel, then it is a parallelogram.

Join BYJU'S Learning Program