11.2.2 Angle Relationships in Circles

Question 1

Theorem

Answer 1

If a tangent and a secant (or chord) intersect on a circle at the point of tangency, then the measure of the angle formed is half the measure of its intercepted arc

Question 2

Theorem

Answer 2

If two secants or chords intersect in the interior of a circle, then the measure of each angle formed is half the sum of the measures of its intercepted arcs

Question 3

Theorem

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 its intercepted arcs