A circle has center point upper A. Points upper C and upper D are plotted on the circumference of the circle. Point upper B lies outside the circle. Tangent segments join points upper C and upper D with upper B.
If arc CD=73
degrees, then what is the measure of ∠B
?
(1 point)
degrees
The measure of an inscribed angle in a circle is half the measure of the central angle that intercepts the same arc.
Since arc CD has a measure of 73 degrees, the central angle with the same measure is also 73 degrees.
Therefore, the measure of angle B is half of 73 degrees, which is 36.5 degrees.