What value of `y` would make `A O B` a line in Figure, if `/_A O C=4y\ a n d\ /_B O C=(6y+30)`

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

If Figure, /_A O F\ a n d\ /_F O G form a linear pair. /_E O B=\ /_F O C=90^(00)a n d\ /_D O C=\ /_F O G=\ /_A O B=30^0 Find the measure of /_F O E ,\ /_C O B\ a n d\ /_D O Edot Name all the right angles. Name three pairs of adjacent complementary angles. Name three pairs of adjacent supplementary angles. Name three pairs of adjacent angles.

A point O inside a rectangle A B C D is joined to the vertices. Prove that the sum of the areas of a pair of opposite triangles so formed is equal to the sum of the other pair of triangles. Given: A rectangle A B C D\ a n d\ O is a point inside it. O A ,\ O B ,\ O C\ a n d\ O D have been joined. To Prove: a r\ (A O D)+\ a r\ ( B O C)=\ a r\ ( A O B)+\ a r( C O D)

In Figure, A O B is a straight line. If /_A O C+/_B O D=85^0, then /_C O D= (a)85^0 (b) 90^0 (c) 95^0 (d) 100^0

Diagonals of parallelogram A B C D intersect at O as shown in Figure. XY contains O , a n d X , Y are points on opposite sides of the parallelogram. Give reasons for each of the following: O B=O D (ii) /_O B Y=/_O D X /_B O Y= /_D O X (iv) B O Y~= D O X Now, state if X Y is bisected at Odot

If A B , B C a n d C D are equal chords of a circle with O as centre and A D diameter, then /_A O B= 60^0 (b) 90^0 (c) 120^0 (d) none of these

In Fig.82, line C A_|_A B line C R and line P R line B Ddot\ Find /_x ,/_y\ a n d\ /_zdot

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 Fig. 10.36, A,B and C are three points on a circle with centre O such that /_B O C""=" "30^o and /_A O B" "=" "60^o . If D is a point on the circle other than the arc ABC, find /_A D Cdot

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