Question

Circle O is shown below. The diagram is not drawn to scale. What is the measure of angle BAC?

134°
113°
56.5°
33.5°

Answer 1

56.5, since its (180 - 67)/2

Answer 2

angle BAC = 56.5 degree

Explanation:

In the given circle O, AO and BO are the radius of the circle

AO and BO are same

So the angle opposite of AO and BO are also same

Angle BAC = angle ABO

WE know the sum of angles in a triangle is 180 degree

Angle BAC + ABO + O = 180 degree

Angle O = 67 degree

angle ABO = angle BAC

BAC + BAC + 67 = 180

2BAC + 67= 180

Subtract 67 on both sides

2BAC = 113

Divide by 2 on both sides

BAC = 56.5