Answer:
20°
Step-by-step explanation:
In circle geometry, one of the theorem States that angle at the center of a circle is twice angle at the circumference.
Let x be the angle at the centre and y be angle at the circumference. The theorem can be expressed mathematically as;
x = 2y
According to the diagram <BOC is the angle at the center represented as x which is 40°
Angle<BAC is at the circumference of the circle represented as y.
To find <BAC, note that
<BOC = 2<BAC
40° = 2<BAC
<BAC = 40°/2
<BAC = 20°
