Question

WILL GIVE BRIANLIEST Circle O is shown. Tangents B C and B A intersect at point B outside of the circle. The measure of the first arc formed is 146 degrees. In the diagram of circle O, what is the measure of ? 34° 45° 68° 73°

Answer 1

Answer: 34°

Step-by-step explanation:

The Arc formed by segment AC:

Total measure of an arc = 360°

Measure of Major arc AC = (360° - measure of minor arc)

Minor arc = 146°

THEREFORE,

Major arc AC = (360° - 146°) = 214°

A° = B° = (214° - 146°) / 2 ( tangent - tangent theorem)

Angle formed by tangent AB and BC = difference between major and minor arcs divided by 2 : (Major arc - minor arc) / 2

(214 - 146)° / 2 = 68° / 2 = 34°