If `A B C D` is a quadrilateral in which `A B C D` and `A D=B C ,` prove that `/_A` =`/_B` .

If A B C D is a cyclic quadrilateral in which A D || B C . Prove that /_B=/_C

ABCD is a quadrilateral, then /_A+/_B+/_C+/_D=

In figure, ABC is a triangle in which /_A B C=90^@ and A D_|_B C . Prove that A C^2=A B^2+B C^2-2B C.B D .

In figure, ABC is a triangle in which /_A B C=90^@ and A D_|_B C . Prove that A C^2=A B^2+B C^2-2B C.B D .

A B C D is a cyclic quadrilateral in which A C\ a n d\ B D are its diagonals. If /_D B C=55^0\ a n d\ /_B A C=45^0, find /_B C D

ABCD is a quadrilateral in which and /_D A B\ =/_C B A (see Fig. 7.17). Prove that (i) DeltaA B D~=DeltaB A C (ii) B D\ =\ A C (iii) /_A B D\ =/_B A C

ABCD is a quadrilateral in which and /_D A B\ =/_C B A (see Fig. 7.17). Prove that (i) DeltaA B D~=DeltaB A C (ii) B D\ =\ A C (iii) /_A B D\ =/_B A C

In a quadrilateral A B C D , /_B=90^o , A D^2=A B^2+B C^2+C D^2 , prove that /_A C D=90^o

A B C D is a cyclic quadrilateral in which: B C A D ,\ /_A D C=110^0\ a n d\ /_B A C=50^0dot Find /_D A C /_D B C=80^0\ a n d\ /_B A C=40^0dot Find /_B C D /_B C D=100^0a n d\ /_A B D=70^0 find /_A D B

A B C D is a cyclic quadrilateral in which /_B A D=75^0,\ /_A B D=58^0a n d\ /_A D C=77^0,\ A C\ a n d\ B D intersect at Pdot then, find /_D P C