Question

Find the measure of angle BAC

Answer 1

Trying to attach file for the problem

Answer 2

Please someone help.

Answer 3

This is easier than you think.

Answer 4

In a circle, the measure of an arc is equal to the measure of its central angle. (A central angle is and angle whose vertex is the center of the circle.)

Answer 5

You also need this:

In a circle, an inscribed angle has half the measure of its intercepted arc.

Answer 6

Now look at your case.
A central angle of 76 deg intercepts an arc of the same measure, so arc BC has a measure of ______.
Inscribed angle BAC has half the measure of its intercepted arc BC. m<BAC is ____.

Answer 7

Would bc be 76*2=152?

Answer 8

Arc BC has a measure equal to its central angle, <BOC, so arc BC has a measure of 76 deg.

Angle BAC has a measure that is half the measure of its intercepted arc. That means that m<BAC = 1/2 * 76 = 38 deg.

You multiplied by 2 instead of dividing by 2.