If the sides of a quadrilateral touch a circle, prove that the sum of a pair of opposite sides is equal to the sum of the other pair.

If a quadrilateral has art inscribed circle, then the sum of a pair of opposite sides equals

If the sides of a quadrilateral ABCD touch a circle prove that AB+CD=BC+AD.

If the sides of a quadrilateral ABCD touch a circle prove that AB+CD=BC+AD.

A point O inside a rectangle A B C D is joined to the vertices. Prove that the sum of the areas of a pair of opposite triangles so formed is equal to the sum of the areas of other pair of triangles.

A quadrilateral is a parallelogram,if its one pair of opposite sides are equal and parallel.

If two sides of a cyclic quadrilateral are parallel , prove that the other two sides are equal

A quadrilateral is a parallelogram, if its one pair of opposite sides are equal and parallel.

A quadrilateral is a parallelogram, if its one pair of opposite sides are equal and parallel.

If two consecutive angles of cyclic quadrilateral are congruent, then prove that one pair of opposite sides is congruent and other is parallel.