In Fig. 7.21, `A C\ =\ A E`, `A B\ =\ A D`and `/_B A D\ =/_E A C`. Show that `B C\ =\ D E`.

In Figure, A C=A E ,\ A B=A D\ a n d\ /_B A D=/_E A Cdot Prove that B C=D E

In Fig. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A C E

In Figure, A C=B C ,/_D C A=/_E C B and /_D B C=/_E A Cdot Prove that triangles D B C and E A C are congruent, and hence D C=E C and B D=A E

In Fig. 6.41, if A B|| D E , /_B A C=35^@ and /_C D E=53^@, find /_D C E .

In Fig. 6.41, if A B|| D E , /_B A C=35^@ and /_C D E=53^@, find /_D C E .

In Figure, A C=B C ,\ /_D C A=/_E C B\ a n d\ /_D B C=E A Cdot Prove that triangle D B C\ a n d\ E A C are congruent, and hence D C=E C\ a n d\ B D=A E

In Fig. if A B_|_B C and D E_|_A C . Prove that A B C ~ A E D

In Fig. 4.89, if E D C ~ E B A ,\ \ /_B E C=115o and /_E D C=70o . Find /_D E C ,\ \ /_D C E ,\ \ /_E A B ,\ \ /_A E B and /_E B A . (FIGURE)

In Fig. 4.31, if (A D)/(D C)=(B E)/(E C) and /_C D E=/_C E D , prove that C A B is isosceles. (FIGURE)

In Figure, it is given that A B=E F ,\ B C=D E ,\ A B\ _|_B D\ a n d\ F E\ _|_C E . Prove that A B D\ ~= F E C .