In a parallelogram; the bisectors of any two consecutive angles intersect at right angle.

In a parallelogram, prove that the bisectors of any two consecutive angles intersect at right angle.

In a parallelogram the sum of any two adjacent angles is 180^0dot

In parallelogram ABCD, the bisectors of adjacent angles A and D intersect each other at point P. prove that angleAPD=90^(@) .

In a parallelogram A B C D , prove that sum of any two consecutive angles is 180^0dot

Show that the bisectors of two adjacent supplementary angles include a right angle

Which of the following statements are true (T) and which are false (F)? (i) In a parallelogram, the diagonals are equal. (ii) In a parallelogram, the diagonals bisect each other. (iii) In a parallelogram, the diagonals intersect each other at right angles. (iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram. (v) If all the angles of a quadrilateral are equal, it is a parallelogram. (vi) If three sides of a quadrilateral are equal , it is a parallelogram. (vii) If three angles of a quadrilateral are equal, it is a parallelogram. (viii) If all the sides of a quadrilateral are equal it is a parallelogram

If two parallel lines intersected by a transversal; prove that the bisectors of the two pairs of interior angle encloses a rectangle.

Two parallel lines l and m are intersected by a transversal p . Show that the quadrilateral formed by the bisectors of interior angles is a rectangle.

Which of the following pair of straight lines intersect at right angles ?

Prove that bisectors of any two adjacent angles of a rhombus form a right angled triangle with common arm of the angles.