In Fig. 4.72, `A B C D` . If `O A=3x-19 ,\ \ O B=x-4` , `O C=x-3` and `O D=4` , find `x` . (FIGURE)

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 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=8x-7, D B=5x-3, A E=4x-3 and E C=(3x-1) , find the value of x . (ii) If A D=4x-3, A E=8x-7, B D=3x-1 and C E=5x-3 , find the volume x . (iii) If A D=2. 5 c m , B D=3. 0 c m and A E=3. 75 c m , find the length of A C .

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=4 , A E=8 , D B=x-4 , and E C=3x-19 , find x (ii) If A D=8 c m , A B=12 c m and A E=12 c m , find C E . (iii) If A D=4 c m , D B=4. 5 c m and A E=8 c m , find A C .

In Fig.92, A O B is a straight line such that /_A O C=(3x+10)^0,\ /_C O D=50^0 and /_B O D=(x-8)^0dot The value of x is (a) 32 (b) 36 (c) 42 (d) 52

In Figure, A B C D is a parallelogram in which /_D A O=40^0, /_B A O=35^0 a n d /_C O D=65^0dot Find: /_A B O (ii) /_O D C (iii) /_A C B (iv) /_C B D

The diagonals of a rectangle A B C D\ meet at O . If /_B O C=44^0, find /_O A D

In Figure, /_A O B=90^0,\ A C=B C ,\ O A=12\ c m\ a n d\ O C=6. 5 c mdot Find the area of A O Bdot

In Fig.4.58,ABC is a triangle such that (AB)/(AC)=(BD)/(DC),/_B=70o,quad /_C=50o. Find /_BAD. (FIGURE)

In Fig. 15.70, O A C B is a quadrant of a circle with centre O and radius 3.5 cm. If O D=2\ c m , find the area of the (i) quadrant O A C B (ii) shaded region. (FIGURE)

In Fig. 4.179, A B C and D B C are on the same base B C . If A D and B C intersect at O , prove that (A r e a\ ( A B C))/(A r e a\ ( D B C))=(A O)/(D O) (FIGURE)