The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X.
http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0810_06/image0044e68c63e.jpg
What is the measure of angle ACB?
Answer

16°

23°

32°

46°

Question

The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X.
 http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0810_06/image0044e68c63e.jpg
What is the measure of angle ACB?
Answer
		
16°
		
23°
		
32°
		
46°

anonymous · Answer

In the figure the inscribed angle of 32 degrees yields an arcAngle of 64 degrees. ( http://www.mathwarehouse.com/geometry/circle/inscribed-angle.php) If you know both arcAngles subtended by two secants you can use the following equation: exteriorAngle = (farArc - nearArc)/2 ( http://www.mathwarehouse.com/geometry/circle/tangents-secants-arcs-angles.php) In this case it would be 46 degrees

anonymous · Answer

thank-you!!!