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. 71, if A B C D\ a n d\ C D E F ,\ find \ /_A 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 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 Fig.81, side B C of A B C has been produced to D and C E B Adot If /_A B C=65^0,\ /_B A C=55^0, find /_A C E ,\ /_E C D\ a n d\ /_A C Ddot

In Fig. 6.13, lines AB and CD intersect at O. If /_A O C\ +/_B O E=70^@ and /_B O D=40^@ , find /_B O E and reflex /_C O E .

In Figure, it is given that A B=C F , E F=B D a n d /_A F E= /_C B Ddot Prove that A F E= ~= C B D

In Fig. 4.178, D E B C (FIGURE) If D E=4c m , B C=6c m and Area ( A D E)=16 c m^2 , find the area of A B C . (ii) If D E=4c m , B C=8c m and Area ( A D E)=25 c m^2 , find the area of A B C . (iii) If D E : B C=3:5 . Calculate the ratio of the areas of A D E and the trapezium B C E D .

In Figure, if E C A B , /_E C D=70^0A N D /_B D O=20^0 , then /_O B D is: 20^0 (b) 50^0 (c) 60^0 (d) 70^0

In Fig. 4.95, if /_A D E=/_B show that A D E ~ A B C . If A D=3. 8 c m , A E=3. 6 c m , B E=2. 1 c m and B C=4. 2 c m , find D E . (FIGURE)

In Fig. 4.101, A D and C E are two altitudes of A B C . Prove that A E F ~ C D F (ii) A B D ~ C B E (iii) A E F ~ A D B (iv) F D C ~ B E C (FIGURE)