In five cornered fig. 18,`A D , A C` are joined. Find `/_E A B+/_B A C+/_B C D+/_C D E+/_D E A` .

In the six cornered figure, (fig.20), AC,AD and AE are joined. Find /_F A B+/_A B C+/_B C D+/_C D E+/_D E F+/_E F Adot

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

/_A+/_B+/_C+/_D+/_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.87, the corresponding arms of /_A B C\ a n d\ /_D E F are parallel. If /_A B C=75^0, find the /_D E Fdot

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)

In a A B C , D and E are points on A B and A C respectively such that D E// B C . If A D=2. 4 c m ,\ \ A E=3. 2 c m ,\ \ D E=2c m and B C=5c m , find B D and C E .

In a A B C , D and E are points on the sides A B and A C respectively such that D E B C If A D=6\ c m , D B=9\ c m and A E=8\ c m , find A C . (ii) If (A D)/(D B)=3/4 and A C=15\ c m , find A E . (iii) If (A D)/(D B)=2/3 and A C=18\ c m , find A E .