In Figure, ray `O E` bisects `/_A O B\ a n d\ O F` is a ray opposite to `O E` . Show that `/_F O B=\ /_F O A`

In Figure, rays O A ,\ O B ,\ O C ,\ O D\ a n d\ O E have the common end point O . Show that /_A O B+\ /_B O C+\ /_C O D+\ /_D O E+\ /_E O A=360^0

In Figure, O P bisects /_B O C\ a n d\ O Q \ bisects \ /_A O C . Show that /_P O Q=90^0

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 .

In Figure, O P ,\ O Q ,\ O R\ a n d\ O S are four rays. Prove that /_P O Q+\ /_Q O R+\ /_S O R+\ /_P O S=360^0

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.

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, given that /_A O C=/_A C O\ a n d\ /_B O D=/_B D O . Prove that A C||D B

In figure, A B\ a n d\ C D are straight lines and O P\ a n d\ O Q are respectively the bisectors of angles /_B O D\ a n d\ /_A O C . Show that the rays O P\ a n d\ O Q are in the same line.

In Figure, lines A B\ a n d\ C D intersect at O . If /_A O C+\ /_B O E=70^0 and \ /_B O D=40^0, find /_B O E and reflex /_C O E

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