[" In the above question "18" ,if internat bisector of "/_B" and "/_C" intersect "],[" at P,prove that "/_PBO=90^(@)" and "/_BOC+/_BPC=180^(@)]

BO and CO are external bisector of angleB and angleC of triangle ABC intersecting at O. If internal bisector of angleB and angleC intersect at P, prove that anglePBO=90^@ and angleBOC+angleBPC=180^@

In quadrilateral ABCD, the bisectors of /_A and /_B intersect at E. Prove that, /_C+ /_D = 2/_ AEB.

In the figure the bisectors of /_P and /_Q intersect to each other at a point R. Prove that /_PRQ=90^(@).

In a ABC,/_ABC=/_ACB and the bisectors of /_ABC and /_ACB intersect at O such that /_BOC=120^(0). Show that /_A=/_B=/_C=60^(@).

In DeltaABC,AB=AC and the bisectors of angles B and C intersect at point O. Prove that BO=OC

In a ABC, the internal bisectors of /_B and /_C met at P and the external bisectors of /_B and /_C meet at Q. Prove that /_BPC+/_BQC=180^(@)

In a triangle ABC,/_ABC=/_ACB and the bisectors of /_ABC and /_ACB intersect at O such that /_BOC=120^(0). Show that /_A=/_B=/_C=60^(@)

In DeltaABC , the bisectors of angleB and angleC intersect each other at O. Prove that. angleBOC=90^(@)+(1)/(2)angleA .

ABCD is a quadrilateral.The bisectors of angle A and B intersect at P, show that /_C+/_D=2/_APB

In a triangle A B C , the internal bisectors of /_B\ a n d\ /_C meet at P and the external bisectors of /_B\ a n d\ /_C meet at Q . Prove that /_B P C+\ /_B Q C=180^0