Chapter 10.6: Other Angle Relationships

Question 1

Thm. 10.13

Answer 1

if a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is half the measure of its intercepted arc.

Question 2

Thm. 10.14

Answer 2

if two chords intersect in the interior of a circle, then the measure of each angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

Question 3

Thm. 10.15

Answer 3

if a tangent and a secant, two tangents, or two secants intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of the intercepted arcs.