AB is a diameter of a circle with centre O. C is a point on the circle such that \(\angle BOC=76^\circ\). What is the measure of \(\angle BAC\)?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 38°
The angle subtended by an arc at the centre is twice the angle it subtends at any point on the rest of the circle.
Arc BC subtends \(\angle BOC=76^\circ\) at the centre
It subtends \(\angle BAC\) at A on the circle
\(\angle BAC=\displaystyle\frac{76^\circ}{2}=38^\circ\)
