Main Ideas/Questions Notes/Examples When chords, secants, and tangents intersect in a circle (Figure 1), ARCS & ANGLES on a circle (Figure 2), or outside of a circle (Figure 3), special relationships exist between the angle and arc measures formed. formed by Figure 1 (inside the circle) Figure 2 (on the circle) Figure 3 (outside the circle) Intersecting Chords , Secants, & Tangents If two secants or chords intersect inside a circle, then the measure of the angle INTERIOR formed is equal to half the sum of the measures of the intercepted arcs, Intersections 121 = m 42 = GENT LINE Find each measure. 1. MLAED 2. MZSTR 185' B 45 109 R 112- if a secant and a tangent intersect at the point of tangency, then the measure of each angle formed is equal to half the measure of its intercepted arc. ON THE CIRCLE intersections C m 41 = m /2 = A Find each measure. 7. m/DEG 308 8. mLDBC H D E