Question

State true or false

Two congruent circles with centres O and O' intersect at two points A and B Then $\angle AOB=\angle A{O}^{\prime }B$

• A. True
• B. False

Answer 1

The correct option is A True

true

they are congruent circles that means there radius are same.

if we join there centers then in the triangle OAA',

$OA=O{A}^{\prime }$ so $\angle AO{O}^{\prime }=\angle A{O}^{\prime }O$

similarly in triangle OBO'

$\angle BO{O}^{\prime }=\angle B{O}^{\prime }O$

so if we add both the equations then

$\angle AOB=\angle A{O}^{\prime }B$