In a circle with centre `O ,` chords `A B\ a n d\ C D` intersect inside the circumference at `Edot` Prove that `/_A O C+\ /_B O D=2\ /_A E C`

In a circle with centre O , chords A B\ a n d\ C D intersect inside the circumference at E . Prove that /_A O C+\ /_B O D=2\ /_A E C

In a circle with centre O , chords A Ba n dC D intersect inside the circumference at Edot Prove that /_A O C+/_B O D=2/_A E Cdot

Two straight lines A B\ a n d\ C D intersect one another at the point Odot If /_A O C+/_C O B+/_B O D=274^0, then /_A O D=

If O is the circumcentre of /_\ A B C and O D_|_B C , prove that /_B O D=/_A

In Figure, A B=C B\ a n d\ O is the centre of the circle. Prove that B O bisects /_A B C .

In Figure, lines A B ,\ C D\ a n d\ E F intersect at O . Find the measures of /_A O C ,\ /_C O F ,\ /_D O E\ a n d\ /_B O F .

Two circle with centres A and B intersect at C and Ddot Prove that /_A C B=/_A D Bdot

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

In a A B C , it is given that A B=A C and the bisectors of /_B\ a n d\ C intersect at Odot If M is a point on B O produced, prove that /_M O C=\ /_A B C

L\ a n d\ M are mid-point of two equal chords A B\ a n d\ C D of a circle with centre O . Prove that /_O L M=\ /_O M L (ii) /_A L M=\ /_C M L