rectangle ABCD and triangle ABE are inscribed in the circle with centre O If O is the centre of - Maths - Circles

Question

rectangle ABCD and triangle ABE are inscribed in the circle with
centre O If O is the centre of rectangle and ∠AEB = 40°,
then ∠BOC​

Pragun Singhal · Accepted Answer

AEB = ADB (ANGLE IN SAME SEGMENT)
BDC = ADC -ADB
BDC =90° - 40°= 50°
BOC =2 × BDC ( angle subtended in centre is double the angle
on the circumference )
So BOC =2 × 50° = 100°

So the answer is 100°

rectangle ABCD and triangle ABE are inscribed in the circle with centre O. If O is the centre of rectangle and ∠AEB = 40°, then ∠BOC​

rectangle ABCD and triangle ABE are inscribed in the circle with centre O. If O is the centre of rectangle and ∠AEB = 40°, then ∠BOC