In figure `OA**O B=O C** O D`. Show that `/_A=/_C`and `/_B=/_D`.

In figure OA*OB=OC*OD. Show that /_A=/_C and /_B=/_D

In the given figure OA*OB= OC*OD . Show that /_A= /_C" and "/_B= /_D .

In Fig. 4.126, (O A)/(O C)=(O D)/(O B) . Prove that /_A=/_C and /_B=/_D . (FIGURE)

In Figure, given that /_A O C=/_A C O\ a n d\ /_B O D=/_B D O . Prove that A C||D B

In a triangle A B C ,\ /_A B C=\ /_A C B and the bisectors of /_A B C\ a n d\ /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0 .

In Figure, rays O A ,\ O B ,\ O C ,\ O D\ a n d\ O E have the common end point O . Show that /_A O B+\ /_B O C+\ /_C O D+\ /_D O E+\ /_E O A=360^0

If O is the circumcentre of /_\ A B C and O D_|_B C , prove that /_B O D=/_A

O is any point inside a triangle A B C . The bisector of /_A O B ,/_B O C and /_C O A meet the sides A B ,B C and C A in point D ,E and F respectively. Show that A D * B E * C F=D B * E C * F A

If ray O C stands on line A B such that /_A O C=/_C O B , then show that /_A O C=90^0

In Figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that O B = O D . If A B = C D , then show that: (i) a r /_\(D O C) = a r /_\(A O B) (ii) a r /_\(D C B) = a r /_\(A C B) (iii) D A || CB