PROBLEMS ON INTERSECTING CHORDS INSIDE A CIRCLE

Find the value of x.

Problem 1 :

Solution :

x˚ = 1/2(mAD + mBC)

x˚ = 1/2(162˚ + 134˚)

x = 1/2(296)

x = 148

Problem 2 :

Solution :

x˚ = 1/2(mAB + mCD)

x˚ = 1/2(25˚ + 75˚)

x = 1/2(100)

x = 50

Problem 3 :

Solution :

x˚ = 1/2(mAB + mCD)

x˚ = 1/2(130˚ + 96˚)

x = 1/2(226)

x = 113

Problem 12 :

Solution :

55˚ = 1/2(mAB + mCD)

55˚ = 1/2(x + 89˚)

110˚ = x + 89

x = 110 - 89

x = 21

Problem 13:

Solution :

59˚ = 1/2(mAB + mCD)

59˚ = 1/2(x + 70˚)

118˚ = x + 70

x = 118 - 70

x = 48

Problem 14 :

Solution :

129˚ = 1/2(mAD + mBC)

129˚ = 1/2(x + 72˚)

258˚ = x + 72

x = 258 - 72

x = 186