In triangle ABC,the bisector of interior angle A and the bisector angle C meet at point O. Prove that `angle AOC=(1)/(2)angleB`

The bisector of the interior angles angleB and angle C of the DeltaABC , meet at H. Prove that angleBHC=90^@+(1)/(2)angleBAC .

Bisectors of angles A and B of a parallelogram ABCD meet at point M. Prove that angleAMB=(1)/(2)(angleC+angleD)

Bisectors of angles A and B of a parallelogram ABCD meet at point M. Prove that angleAMB=(1)/(2)(angleC+angleD)

In triangle ABC , the internal bisector of angle A angle B and angle C meet at point I . Prove that : (1)/(2) (AB+ BC + CA) lt AI+ BI + CI

Bisectors of angles A and D of a quadrilateral ABCD meet at P. Prove that angleAPD=(1)/(2)(angleB+angleC)

Bisectors of angles A and D of a quadrilateral ABCD meet at P. Prove that angleAPD=(1)/(2)(angleB+angleC)

In triangle LMN, bisector of interior angles at L and N intersect each other at point A. Prove that : AM bisects angle LMN.

In a Delta ABC , angle bisector of interior angle B and exterior angle C intersect at P . If angle A=70^(@) . Find angle BPC .

In a triangle ABC , the bisectors of angle B and angle C meets at point O. If angle BOC=142^@ then the measure angle A is: triangle ABC में, angle B तथा angle C के द्विभाजक O पर मिलते हैं | यदि angle BOC=142^@ है, तो angle A का माप ज्ञात करे |