Respuesta :

mhanifa

Answer:

  • 73°, 85°, 62°

Step-by-step explanation:

#1

Angle formed by two chords is half the sum of the intersepted arcs:

  • m∠HKI = m∠GKJ = 1/2(105 + 41) = 1/2(146) = 73°

#2

Angle formed outside by two tangents is half the difference of intercepted arcs:

  • 1/2(55x - 17x) = 95
  • 38x = 190
  • x = 190/38
  • x = 5

Find the arc measure:

  • mAC = 17x = 17*5 = 85°

#3

Angle formed outside by two secants is half the difference of intercepted arcs:

  • mBCD = 1/2(mAE - mDB) = 1/2(147 - 23) = 1/2(124) = 62°

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