Question

in the figure, O is the centre of the circle and angle ABC=45° . Show that OA is perpendicular to OC​

Answer 1

Answer:

Theorem:

The angle subtended by an arc of a circle at the centre is double the angle subtended by the same arc at any point remaining part of the circle.

The angle subtended by Arc AC from point B is 45°.

As per theorem the angle subtended by arc from centre O is 2 x 45°=90°

so, OA is perpendicular to OC.