O is the center of the circle if angle AOB = 80 degree then find the measure of angle ADB - Maths - Circles

Question

O is the center of the circle if angle AOB = 80 degree then find
the measure of angle ADB and angle ACB

Aashmeen Kanwar · Accepted Answer

since angle AOB is subtended by arc AB at the center and same arc
subtendes angle ADB at the circumference,
thus,angle ADB=angle AOB/2
ADB=80/2=400
SINCE ANGLE ADB AND ANGLE ACB ARE IN SAME SEGMENT AB
THEREFORE,ANGLE ADB=ANGLE ACB
ANGLE ACB=400

O is the center of the circle if angle AOB = 80 degree then find the measure of angle ADB and angle ACB