If ray `O C` stands on line `A B` such that `/_A O C=/_C O B` , then show that `/_A O C=90^0`

In a triangle A B C ,/_A B C=/_A C B and the bisectors of /_A B C and /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0

In Figure, O is the centre of the circle such that /_A O C\ =130^0,\ then /_A B C= (a) 130^0 (b) 115^0 (c) 65^0 (d) 165^0

In a triangle A B C ,\ /_A B C=\ /_A C B and the bisectors of /_A B C\ a n d\ /_A C B intersect at O such that /_B O C=120^0dot Show that /_A=/_B=/_C=60^0 .

If A ,\ B ,\ C are three points on a circle with centre O such that /_A O B=90^0 and /_B O C=120^0, then /_A B C= (a) 60^0 (b) 75^0 (c) 90^0 (d) 135^0

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D

In a quadrilateral A B C D , bisectors of angles A\ a n d\ B intersect at O such that /_A O B=75^0, then write the value of /_C+\ /_D

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

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