21 123 REVIEW PUZZLE CFs tangent to Circle D an D Fill in th
2.1 -12.3 REVIEW PUZZLE CFs tangent to Circle D an D Fill in the table below. 12 17 L6 x 15 14 122 90 s14 10 ?15? BDF 416 s 1 12- c2- 13-
Solution
Angle BDG = 90 degree (tangent make 90 degree with circle)
Angle BDF = 90 degree (tangent make 90 degree with circle)
Angle 3 = 122 degree ( given arc angle)
Angle 2 = Angle 4 = 29 degree each (equal angle of triangle)
Angle 1 = 90-29 = 61 degree
Angle 5 = 180-122 = 58 degree
Arc 6 = 58 degree
Angle 7 = 90 degree ( semicircle angle)
Angle 8 = 122 ÷ 2= 61 degree ( angle at cirxlc is half of at center)
Angle 10 = 20/2 = 10 degree (half of arc angle)
Angle 13 = 90/2 =45 degree (half of arc angle)
Angle 11 = 45 -10= 35 degree
Arc 12 = 35 degree
Angle 9 = 45 degree ( 90 - angle 10 and 11)
Angle 14 = 80 degree (angle of a triangle)
Angle 15 = 100 degree
Angle 16 = 84 degree ( angle of triangle)
Angle 17 = 84 degree ( opposite angle)
Angle CDB = 45 degree
