Find mBAC in circle O The figure is not drawn to scale A 170

Find mBAC in circle O. (The figure is not drawn to scale.)

A. 170

B. 95

C. 47.5

D. 42.5

Solution:

Since AC is diameter

then

angle <BOC = 180-85 = 95

Now angle subtend in semicircle is half of angle subtend at center

angle <BAC = 95/2 = 47.5

Answer: C . 47.5 is correct