Warm-up #2 ( Find x and m AD B 72o A C 9xo D

Table of Contents 29. Other Angle Relationships in Circles

Other Angle Relationships in Circles Std – MM2G3 Understand properties of circles Essential Question – What other angle/arc relationships are there in a circle?

Tangent and chord intersection Where does a tangent and chord intersect? Formula is the same as for inscribed angles. m1 = ½ m AB B ( 1 A 2 C

Example: Find m1 = m2 = m BCA = 75o 105o ( 210o A 1 2 150o C B

Chord intersection (In the circle) Angle = (arc + arc)/2 Arc + arc = angle * 2 B A 1 D C

Example: Find x. 80o ½ (40 + 120) ½ (160) = 80o x = 180 - 80 x = 100o

Tangent and secant intersection Out of the circle Angle = (arc – arc) / 2 Arc – arc = angle * 2 Tangent and secant intersection Out of the circle B A X C

Example: Find x. 78 = ½ (204 – x) 360 – 80 = 280o 156 = 204 – x

Assignment Pg. 624: 9-33 odd

Assessment Pair and share